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Finding the Third Proportional to 1,569,592.69 and 2,221,597.13

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Solution

The third proportional to 1,569,592.69 and 2,221,597.13 is: 3,144,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,592.69 : 2,221,597.13 = 2,221,597.13 : x
  2. Step 2: Convert to fraction form
    1,569,592.69/2,221,597.13 = 2,221,597.13/x
  3. Step 3: Cross multiply
    1,569,592.69x = 2,221,597.13 × 2,221,597.13
  4. Step 4: Simplify right side
    1,569,592.69x = 4,935,493,785,808.27
  5. Step 5: Solve for x
    x = 4,935,493,785,808.27/1,569,592.69
  6. Step 6: Final answer
    x = 3,144,442.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.