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Finding the Third Proportional to 721,408 and 1,567,232

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Solution

The third proportional to 721,408 and 1,567,232 is: 3,404,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,408 : 1,567,232 = 1,567,232 : x
  2. Step 2: Convert to fraction form
    721,408/1,567,232 = 1,567,232/x
  3. Step 3: Cross multiply
    721,408x = 1,567,232 × 1,567,232
  4. Step 4: Simplify right side
    721,408x = 2,456,216,141,824
  5. Step 5: Solve for x
    x = 2,456,216,141,824/721,408
  6. Step 6: Final answer
    x = 3,404,753.12

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