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Finding the Third Proportional to 1,152,534.13 and 1,691,433.88

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Solution

The third proportional to 1,152,534.13 and 1,691,433.88 is: 2,482,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,534.13 : 1,691,433.88 = 1,691,433.88 : x
  2. Step 2: Convert to fraction form
    1,152,534.13/1,691,433.88 = 1,691,433.88/x
  3. Step 3: Cross multiply
    1,152,534.13x = 1,691,433.88 × 1,691,433.88
  4. Step 4: Simplify right side
    1,152,534.13x = 2,860,948,553,497.52
  5. Step 5: Solve for x
    x = 2,860,948,553,497.52/1,152,534.13
  6. Step 6: Final answer
    x = 2,482,311.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.