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Finding the Third Proportional to 429,084 and 932,877

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Solution

The third proportional to 429,084 and 932,877 is: 2,028,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,084 : 932,877 = 932,877 : x
  2. Step 2: Convert to fraction form
    429,084/932,877 = 932,877/x
  3. Step 3: Cross multiply
    429,084x = 932,877 × 932,877
  4. Step 4: Simplify right side
    429,084x = 870,259,497,129
  5. Step 5: Solve for x
    x = 870,259,497,129/429,084
  6. Step 6: Final answer
    x = 2,028,179.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.