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Finding the Third Proportional to 567,252 and 1,209,591

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Solution

The third proportional to 567,252 and 1,209,591 is: 2,579,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,252 : 1,209,591 = 1,209,591 : x
  2. Step 2: Convert to fraction form
    567,252/1,209,591 = 1,209,591/x
  3. Step 3: Cross multiply
    567,252x = 1,209,591 × 1,209,591
  4. Step 4: Simplify right side
    567,252x = 1,463,110,387,281
  5. Step 5: Solve for x
    x = 1,463,110,387,281/567,252
  6. Step 6: Final answer
    x = 2,579,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.