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Finding the Third Proportional to 653,908 and 1,408,000

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Solution

The third proportional to 653,908 and 1,408,000 is: 3,031,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,908 : 1,408,000 = 1,408,000 : x
  2. Step 2: Convert to fraction form
    653,908/1,408,000 = 1,408,000/x
  3. Step 3: Cross multiply
    653,908x = 1,408,000 × 1,408,000
  4. Step 4: Simplify right side
    653,908x = 1,982,464,000,000
  5. Step 5: Solve for x
    x = 1,982,464,000,000/653,908
  6. Step 6: Final answer
    x = 3,031,717.00

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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.