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Finding the Third Proportional to 1,619,856 and 3,499,464

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Solution

The third proportional to 1,619,856 and 3,499,464 is: 7,560,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,856 : 3,499,464 = 3,499,464 : x
  2. Step 2: Convert to fraction form
    1,619,856/3,499,464 = 3,499,464/x
  3. Step 3: Cross multiply
    1,619,856x = 3,499,464 × 3,499,464
  4. Step 4: Simplify right side
    1,619,856x = 12,246,248,287,296
  5. Step 5: Solve for x
    x = 12,246,248,287,296/1,619,856
  6. Step 6: Final answer
    x = 7,560,084.53

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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.