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Finding the Third Proportional to 758,271 and 1,650,446

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Solution

The third proportional to 758,271 and 1,650,446 is: 3,592,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,271 : 1,650,446 = 1,650,446 : x
  2. Step 2: Convert to fraction form
    758,271/1,650,446 = 1,650,446/x
  3. Step 3: Cross multiply
    758,271x = 1,650,446 × 1,650,446
  4. Step 4: Simplify right side
    758,271x = 2,723,971,998,916
  5. Step 5: Solve for x
    x = 2,723,971,998,916/758,271
  6. Step 6: Final answer
    x = 3,592,346.27

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Why These Related Problems?

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