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Finding the Third Proportional to 747,785 and 1,630,900

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Solution

The third proportional to 747,785 and 1,630,900 is: 3,556,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,785 : 1,630,900 = 1,630,900 : x
  2. Step 2: Convert to fraction form
    747,785/1,630,900 = 1,630,900/x
  3. Step 3: Cross multiply
    747,785x = 1,630,900 × 1,630,900
  4. Step 4: Simplify right side
    747,785x = 2,659,834,810,000
  5. Step 5: Solve for x
    x = 2,659,834,810,000/747,785
  6. Step 6: Final answer
    x = 3,556,951.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.