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Finding the Third Proportional to 3,642,868 and 5,434,776

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Solution

The third proportional to 3,642,868 and 5,434,776 is: 8,108,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,868 : 5,434,776 = 5,434,776 : x
  2. Step 2: Convert to fraction form
    3,642,868/5,434,776 = 5,434,776/x
  3. Step 3: Cross multiply
    3,642,868x = 5,434,776 × 5,434,776
  4. Step 4: Simplify right side
    3,642,868x = 29,536,790,170,176
  5. Step 5: Solve for x
    x = 29,536,790,170,176/3,642,868
  6. Step 6: Final answer
    x = 8,108,114.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.