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Finding the Third Proportional to 715,306 and 1,546,766

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Solution

The third proportional to 715,306 and 1,546,766 is: 3,344,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,306 : 1,546,766 = 1,546,766 : x
  2. Step 2: Convert to fraction form
    715,306/1,546,766 = 1,546,766/x
  3. Step 3: Cross multiply
    715,306x = 1,546,766 × 1,546,766
  4. Step 4: Simplify right side
    715,306x = 2,392,485,058,756
  5. Step 5: Solve for x
    x = 2,392,485,058,756/715,306
  6. Step 6: Final answer
    x = 3,344,701.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.