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Finding the Third Proportional to 945,332 and 1,418,691

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Solution

The third proportional to 945,332 and 1,418,691 is: 2,129,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,332 : 1,418,691 = 1,418,691 : x
  2. Step 2: Convert to fraction form
    945,332/1,418,691 = 1,418,691/x
  3. Step 3: Cross multiply
    945,332x = 1,418,691 × 1,418,691
  4. Step 4: Simplify right side
    945,332x = 2,012,684,153,481
  5. Step 5: Solve for x
    x = 2,012,684,153,481/945,332
  6. Step 6: Final answer
    x = 2,129,076.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.