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Finding the Third Proportional to 669,511 and 1,034,420

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Solution

The third proportional to 669,511 and 1,034,420 is: 1,598,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,511 : 1,034,420 = 1,034,420 : x
  2. Step 2: Convert to fraction form
    669,511/1,034,420 = 1,034,420/x
  3. Step 3: Cross multiply
    669,511x = 1,034,420 × 1,034,420
  4. Step 4: Simplify right side
    669,511x = 1,070,024,736,400
  5. Step 5: Solve for x
    x = 1,070,024,736,400/669,511
  6. Step 6: Final answer
    x = 1,598,218.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.