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Finding the Third Proportional to 616,981 and 932,033

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Solution

The third proportional to 616,981 and 932,033 is: 1,407,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,981 : 932,033 = 932,033 : x
  2. Step 2: Convert to fraction form
    616,981/932,033 = 932,033/x
  3. Step 3: Cross multiply
    616,981x = 932,033 × 932,033
  4. Step 4: Simplify right side
    616,981x = 868,685,513,089
  5. Step 5: Solve for x
    x = 868,685,513,089/616,981
  6. Step 6: Final answer
    x = 1,407,961.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.