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Finding the Third Proportional to 569,721.09 and 902,148.89

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Solution

The third proportional to 569,721.09 and 902,148.89 is: 1,428,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,721.09 : 902,148.89 = 902,148.89 : x
  2. Step 2: Convert to fraction form
    569,721.09/902,148.89 = 902,148.89/x
  3. Step 3: Cross multiply
    569,721.09x = 902,148.89 × 902,148.89
  4. Step 4: Simplify right side
    569,721.09x = 813,872,620,855.92
  5. Step 5: Solve for x
    x = 813,872,620,855.92/569,721.09
  6. Step 6: Final answer
    x = 1,428,545.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.