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Finding the Third Proportional to 1,451,142 and 2,288,034

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Solution

The third proportional to 1,451,142 and 2,288,034 is: 3,607,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,142 : 2,288,034 = 2,288,034 : x
  2. Step 2: Convert to fraction form
    1,451,142/2,288,034 = 2,288,034/x
  3. Step 3: Cross multiply
    1,451,142x = 2,288,034 × 2,288,034
  4. Step 4: Simplify right side
    1,451,142x = 5,235,099,585,156
  5. Step 5: Solve for x
    x = 5,235,099,585,156/1,451,142
  6. Step 6: Final answer
    x = 3,607,572.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.