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Finding the Third Proportional to 747,666.70 and 1,640,084.20

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Solution

The third proportional to 747,666.70 and 1,640,084.20 is: 3,597,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,666.70 : 1,640,084.20 = 1,640,084.20 : x
  2. Step 2: Convert to fraction form
    747,666.70/1,640,084.20 = 1,640,084.20/x
  3. Step 3: Cross multiply
    747,666.70x = 1,640,084.20 × 1,640,084.20
  4. Step 4: Simplify right side
    747,666.70x = 2,689,876,193,340.17
  5. Step 5: Solve for x
    x = 2,689,876,193,340.17/747,666.70
  6. Step 6: Final answer
    x = 3,597,694.24

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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.