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Finding the Third Proportional to 747,648 and 1,614,816

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Solution

The third proportional to 747,648 and 1,614,816 is: 3,487,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,648 : 1,614,816 = 1,614,816 : x
  2. Step 2: Convert to fraction form
    747,648/1,614,816 = 1,614,816/x
  3. Step 3: Cross multiply
    747,648x = 1,614,816 × 1,614,816
  4. Step 4: Simplify right side
    747,648x = 2,607,630,713,856
  5. Step 5: Solve for x
    x = 2,607,630,713,856/747,648
  6. Step 6: Final answer
    x = 3,487,778.63

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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.