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Finding the Third Proportional to 2,432,097 and 5,629,725

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Solution

The third proportional to 2,432,097 and 5,629,725 is: 13,031,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,097 : 5,629,725 = 5,629,725 : x
  2. Step 2: Convert to fraction form
    2,432,097/5,629,725 = 5,629,725/x
  3. Step 3: Cross multiply
    2,432,097x = 5,629,725 × 5,629,725
  4. Step 4: Simplify right side
    2,432,097x = 31,693,803,575,625
  5. Step 5: Solve for x
    x = 31,693,803,575,625/2,432,097
  6. Step 6: Final answer
    x = 13,031,471.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.