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Finding the Third Proportional to 429,494 and 915,864

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Solution

The third proportional to 429,494 and 915,864 is: 1,953,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,494 : 915,864 = 915,864 : x
  2. Step 2: Convert to fraction form
    429,494/915,864 = 915,864/x
  3. Step 3: Cross multiply
    429,494x = 915,864 × 915,864
  4. Step 4: Simplify right side
    429,494x = 838,806,866,496
  5. Step 5: Solve for x
    x = 838,806,866,496/429,494
  6. Step 6: Final answer
    x = 1,953,011.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.