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Finding the Third Proportional to 747,677 and 1,644,880

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Solution

The third proportional to 747,677 and 1,644,880 is: 3,618,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,677 : 1,644,880 = 1,644,880 : x
  2. Step 2: Convert to fraction form
    747,677/1,644,880 = 1,644,880/x
  3. Step 3: Cross multiply
    747,677x = 1,644,880 × 1,644,880
  4. Step 4: Simplify right side
    747,677x = 2,705,630,214,400
  5. Step 5: Solve for x
    x = 2,705,630,214,400/747,677
  6. Step 6: Final answer
    x = 3,618,715.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.