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Finding the Third Proportional to 1,149,471 and 2,497,913

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Solution

The third proportional to 1,149,471 and 2,497,913 is: 5,428,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,471 : 2,497,913 = 2,497,913 : x
  2. Step 2: Convert to fraction form
    1,149,471/2,497,913 = 2,497,913/x
  3. Step 3: Cross multiply
    1,149,471x = 2,497,913 × 2,497,913
  4. Step 4: Simplify right side
    1,149,471x = 6,239,569,355,569
  5. Step 5: Solve for x
    x = 6,239,569,355,569/1,149,471
  6. Step 6: Final answer
    x = 5,428,209.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.