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Finding the Third Proportional to 567,342 and 1,209,780

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Solution

The third proportional to 567,342 and 1,209,780 is: 2,579,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,342 : 1,209,780 = 1,209,780 : x
  2. Step 2: Convert to fraction form
    567,342/1,209,780 = 1,209,780/x
  3. Step 3: Cross multiply
    567,342x = 1,209,780 × 1,209,780
  4. Step 4: Simplify right side
    567,342x = 1,463,567,648,400
  5. Step 5: Solve for x
    x = 1,463,567,648,400/567,342
  6. Step 6: Final answer
    x = 2,579,692.05

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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.