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Finding the Third Proportional to 728,497.13 and 1,564,039.13

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Solution

The third proportional to 728,497.13 and 1,564,039.13 is: 3,357,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,497.13 : 1,564,039.13 = 1,564,039.13 : x
  2. Step 2: Convert to fraction form
    728,497.13/1,564,039.13 = 1,564,039.13/x
  3. Step 3: Cross multiply
    728,497.13x = 1,564,039.13 × 1,564,039.13
  4. Step 4: Simplify right side
    728,497.13x = 2,446,218,384,530.77
  5. Step 5: Solve for x
    x = 2,446,218,384,530.77/728,497.13
  6. Step 6: Final answer
    x = 3,357,897.10

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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.