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Finding the Third Proportional to 653,910 and 1,408,004

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Solution

The third proportional to 653,910 and 1,408,004 is: 3,031,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,910 : 1,408,004 = 1,408,004 : x
  2. Step 2: Convert to fraction form
    653,910/1,408,004 = 1,408,004/x
  3. Step 3: Cross multiply
    653,910x = 1,408,004 × 1,408,004
  4. Step 4: Simplify right side
    653,910x = 1,982,475,264,016
  5. Step 5: Solve for x
    x = 1,982,475,264,016/653,910
  6. Step 6: Final answer
    x = 3,031,724.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.