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Finding the Third Proportional to 653,188.50 and 1,399,689

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Solution

The third proportional to 653,188.50 and 1,399,689 is: 2,999,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,188.50 : 1,399,689 = 1,399,689 : x
  2. Step 2: Convert to fraction form
    653,188.50/1,399,689 = 1,399,689/x
  3. Step 3: Cross multiply
    653,188.50x = 1,399,689 × 1,399,689
  4. Step 4: Simplify right side
    653,188.50x = 1,959,129,296,721
  5. Step 5: Solve for x
    x = 1,959,129,296,721/653,188.50
  6. Step 6: Final answer
    x = 2,999,332.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.