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Finding the Third Proportional to 1,024,476 and 1,503,498.75

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Solution

The third proportional to 1,024,476 and 1,503,498.75 is: 2,206,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,476 : 1,503,498.75 = 1,503,498.75 : x
  2. Step 2: Convert to fraction form
    1,024,476/1,503,498.75 = 1,503,498.75/x
  3. Step 3: Cross multiply
    1,024,476x = 1,503,498.75 × 1,503,498.75
  4. Step 4: Simplify right side
    1,024,476x = 2,260,508,491,251.56
  5. Step 5: Solve for x
    x = 2,260,508,491,251.56/1,024,476
  6. Step 6: Final answer
    x = 2,206,502.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.