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Finding the Third Proportional to 682,713 and 1,496,641.50

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Solution

The third proportional to 682,713 and 1,496,641.50 is: 3,280,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,713 : 1,496,641.50 = 1,496,641.50 : x
  2. Step 2: Convert to fraction form
    682,713/1,496,641.50 = 1,496,641.50/x
  3. Step 3: Cross multiply
    682,713x = 1,496,641.50 × 1,496,641.50
  4. Step 4: Simplify right side
    682,713x = 2,239,935,779,522.25
  5. Step 5: Solve for x
    x = 2,239,935,779,522.25/682,713
  6. Step 6: Final answer
    x = 3,280,933.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.