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Finding the Third Proportional to 1,205,856 and 2,648,448

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Solution

The third proportional to 1,205,856 and 2,648,448 is: 5,816,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,856 : 2,648,448 = 2,648,448 : x
  2. Step 2: Convert to fraction form
    1,205,856/2,648,448 = 2,648,448/x
  3. Step 3: Cross multiply
    1,205,856x = 2,648,448 × 2,648,448
  4. Step 4: Simplify right side
    1,205,856x = 7,014,276,808,704
  5. Step 5: Solve for x
    x = 7,014,276,808,704/1,205,856
  6. Step 6: Final answer
    x = 5,816,844.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.