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Finding the Third Proportional to 932,638 and 1,440,192

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Solution

The third proportional to 932,638 and 1,440,192 is: 2,223,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,638 : 1,440,192 = 1,440,192 : x
  2. Step 2: Convert to fraction form
    932,638/1,440,192 = 1,440,192/x
  3. Step 3: Cross multiply
    932,638x = 1,440,192 × 1,440,192
  4. Step 4: Simplify right side
    932,638x = 2,074,152,996,864
  5. Step 5: Solve for x
    x = 2,074,152,996,864/932,638
  6. Step 6: Final answer
    x = 2,223,963.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.