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Finding the Third Proportional to 671,466 and 1,442,319

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Solution

The third proportional to 671,466 and 1,442,319 is: 3,098,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,466 : 1,442,319 = 1,442,319 : x
  2. Step 2: Convert to fraction form
    671,466/1,442,319 = 1,442,319/x
  3. Step 3: Cross multiply
    671,466x = 1,442,319 × 1,442,319
  4. Step 4: Simplify right side
    671,466x = 2,080,284,097,761
  5. Step 5: Solve for x
    x = 2,080,284,097,761/671,466
  6. Step 6: Final answer
    x = 3,098,122.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.