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Finding the Third Proportional to 940,524 and 1,344,420

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Solution

The third proportional to 940,524 and 1,344,420 is: 1,921,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,524 : 1,344,420 = 1,344,420 : x
  2. Step 2: Convert to fraction form
    940,524/1,344,420 = 1,344,420/x
  3. Step 3: Cross multiply
    940,524x = 1,344,420 × 1,344,420
  4. Step 4: Simplify right side
    940,524x = 1,807,465,136,400
  5. Step 5: Solve for x
    x = 1,807,465,136,400/940,524
  6. Step 6: Final answer
    x = 1,921,763.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.