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Finding the Third Proportional to 2,434,464 and 3,561,552

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Solution

The third proportional to 2,434,464 and 3,561,552 is: 5,210,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,464 : 3,561,552 = 3,561,552 : x
  2. Step 2: Convert to fraction form
    2,434,464/3,561,552 = 3,561,552/x
  3. Step 3: Cross multiply
    2,434,464x = 3,561,552 × 3,561,552
  4. Step 4: Simplify right side
    2,434,464x = 12,684,652,648,704
  5. Step 5: Solve for x
    x = 12,684,652,648,704/2,434,464
  6. Step 6: Final answer
    x = 5,210,449.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.