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Finding the Third Proportional to 639,748 and 921,606

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Solution

The third proportional to 639,748 and 921,606 is: 1,327,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,748 : 921,606 = 921,606 : x
  2. Step 2: Convert to fraction form
    639,748/921,606 = 921,606/x
  3. Step 3: Cross multiply
    639,748x = 921,606 × 921,606
  4. Step 4: Simplify right side
    639,748x = 849,357,619,236
  5. Step 5: Solve for x
    x = 849,357,619,236/639,748
  6. Step 6: Final answer
    x = 1,327,644.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.