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Finding the Third Proportional to 932,487 and 1,416,957

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Solution

The third proportional to 932,487 and 1,416,957 is: 2,153,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,487 : 1,416,957 = 1,416,957 : x
  2. Step 2: Convert to fraction form
    932,487/1,416,957 = 1,416,957/x
  3. Step 3: Cross multiply
    932,487x = 1,416,957 × 1,416,957
  4. Step 4: Simplify right side
    932,487x = 2,007,767,139,849
  5. Step 5: Solve for x
    x = 2,007,767,139,849/932,487
  6. Step 6: Final answer
    x = 2,153,131.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.