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Finding the Third Proportional to 578,294 and 1,253,113

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Solution

The third proportional to 578,294 and 1,253,113 is: 2,715,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,294 : 1,253,113 = 1,253,113 : x
  2. Step 2: Convert to fraction form
    578,294/1,253,113 = 1,253,113/x
  3. Step 3: Cross multiply
    578,294x = 1,253,113 × 1,253,113
  4. Step 4: Simplify right side
    578,294x = 1,570,292,190,769
  5. Step 5: Solve for x
    x = 1,570,292,190,769/578,294
  6. Step 6: Final answer
    x = 2,715,387.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.