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Finding the Third Proportional to 2,206,226 and 4,766,952

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Solution

The third proportional to 2,206,226 and 4,766,952 is: 10,299,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,226 : 4,766,952 = 4,766,952 : x
  2. Step 2: Convert to fraction form
    2,206,226/4,766,952 = 4,766,952/x
  3. Step 3: Cross multiply
    2,206,226x = 4,766,952 × 4,766,952
  4. Step 4: Simplify right side
    2,206,226x = 22,723,831,370,304
  5. Step 5: Solve for x
    x = 22,723,831,370,304/2,206,226
  6. Step 6: Final answer
    x = 10,299,865.64

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Why These Related Problems?

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