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Finding the Third Proportional to 921,524 and 1,442,480

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Solution

The third proportional to 921,524 and 1,442,480 is: 2,257,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,524 : 1,442,480 = 1,442,480 : x
  2. Step 2: Convert to fraction form
    921,524/1,442,480 = 1,442,480/x
  3. Step 3: Cross multiply
    921,524x = 1,442,480 × 1,442,480
  4. Step 4: Simplify right side
    921,524x = 2,080,748,550,400
  5. Step 5: Solve for x
    x = 2,080,748,550,400/921,524
  6. Step 6: Final answer
    x = 2,257,942.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.