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Finding the Third Proportional to 721,732 and 1,117,408

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Solution

The third proportional to 721,732 and 1,117,408 is: 1,730,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,732 : 1,117,408 = 1,117,408 : x
  2. Step 2: Convert to fraction form
    721,732/1,117,408 = 1,117,408/x
  3. Step 3: Cross multiply
    721,732x = 1,117,408 × 1,117,408
  4. Step 4: Simplify right side
    721,732x = 1,248,600,638,464
  5. Step 5: Solve for x
    x = 1,248,600,638,464/721,732
  6. Step 6: Final answer
    x = 1,730,005.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.