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Finding the Third Proportional to 682,271,545.75 and 1,048,052,562.50

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Solution

The third proportional to 682,271,545.75 and 1,048,052,562.50 is: 1,609,936,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,271,545.75 : 1,048,052,562.50 = 1,048,052,562.50 : x
  2. Step 2: Convert to fraction form
    682,271,545.75/1,048,052,562.50 = 1,048,052,562.50/x
  3. Step 3: Cross multiply
    682,271,545.75x = 1,048,052,562.50 × 1,048,052,562.50
  4. Step 4: Simplify right side
    682,271,545.75x = 1,098,414,173,762,816,384
  5. Step 5: Solve for x
    x = 1,098,414,173,762,816,384/682,271,545.75
  6. Step 6: Final answer
    x = 1,609,936,953.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.