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Finding the Third Proportional to 438,156 and 932,808

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Solution

The third proportional to 438,156 and 932,808 is: 1,985,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,156 : 932,808 = 932,808 : x
  2. Step 2: Convert to fraction form
    438,156/932,808 = 932,808/x
  3. Step 3: Cross multiply
    438,156x = 932,808 × 932,808
  4. Step 4: Simplify right side
    438,156x = 870,130,764,864
  5. Step 5: Solve for x
    x = 870,130,764,864/438,156
  6. Step 6: Final answer
    x = 1,985,892.62

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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.