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Finding the Third Proportional to 725,446.13 and 1,537,312.92

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Solution

The third proportional to 725,446.13 and 1,537,312.92 is: 3,257,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,446.13 : 1,537,312.92 = 1,537,312.92 : x
  2. Step 2: Convert to fraction form
    725,446.13/1,537,312.92 = 1,537,312.92/x
  3. Step 3: Cross multiply
    725,446.13x = 1,537,312.92 × 1,537,312.92
  4. Step 4: Simplify right side
    725,446.13x = 2,363,331,019,763.85
  5. Step 5: Solve for x
    x = 2,363,331,019,763.85/725,446.13
  6. Step 6: Final answer
    x = 3,257,762.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.