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Finding the Third Proportional to 574,666 and 1,219,380

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Solution

The third proportional to 574,666 and 1,219,380 is: 2,587,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,666 : 1,219,380 = 1,219,380 : x
  2. Step 2: Convert to fraction form
    574,666/1,219,380 = 1,219,380/x
  3. Step 3: Cross multiply
    574,666x = 1,219,380 × 1,219,380
  4. Step 4: Simplify right side
    574,666x = 1,486,887,584,400
  5. Step 5: Solve for x
    x = 1,486,887,584,400/574,666
  6. Step 6: Final answer
    x = 2,587,394.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.