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Finding the Third Proportional to 2,429,902 and 5,625,257

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Solution

The third proportional to 2,429,902 and 5,625,257 is: 13,022,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,902 : 5,625,257 = 5,625,257 : x
  2. Step 2: Convert to fraction form
    2,429,902/5,625,257 = 5,625,257/x
  3. Step 3: Cross multiply
    2,429,902x = 5,625,257 × 5,625,257
  4. Step 4: Simplify right side
    2,429,902x = 31,643,516,316,049
  5. Step 5: Solve for x
    x = 31,643,516,316,049/2,429,902
  6. Step 6: Final answer
    x = 13,022,548.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.