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Finding the Third Proportional to 614,715 and 1,259,778

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Solution

The third proportional to 614,715 and 1,259,778 is: 2,581,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,715 : 1,259,778 = 1,259,778 : x
  2. Step 2: Convert to fraction form
    614,715/1,259,778 = 1,259,778/x
  3. Step 3: Cross multiply
    614,715x = 1,259,778 × 1,259,778
  4. Step 4: Simplify right side
    614,715x = 1,587,040,609,284
  5. Step 5: Solve for x
    x = 1,587,040,609,284/614,715
  6. Step 6: Final answer
    x = 2,581,750.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.