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Finding the Third Proportional to 657,644.06 and 1,413,190.13

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Solution

The third proportional to 657,644.06 and 1,413,190.13 is: 3,036,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,644.06 : 1,413,190.13 = 1,413,190.13 : x
  2. Step 2: Convert to fraction form
    657,644.06/1,413,190.13 = 1,413,190.13/x
  3. Step 3: Cross multiply
    657,644.06x = 1,413,190.13 × 1,413,190.13
  4. Step 4: Simplify right side
    657,644.06x = 1,997,106,329,397.52
  5. Step 5: Solve for x
    x = 1,997,106,329,397.52/657,644.06
  6. Step 6: Final answer
    x = 3,036,758.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.