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Finding the Third Proportional to 1,438,614 and 2,111,265

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Solution

The third proportional to 1,438,614 and 2,111,265 is: 3,098,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,614 : 2,111,265 = 2,111,265 : x
  2. Step 2: Convert to fraction form
    1,438,614/2,111,265 = 2,111,265/x
  3. Step 3: Cross multiply
    1,438,614x = 2,111,265 × 2,111,265
  4. Step 4: Simplify right side
    1,438,614x = 4,457,439,900,225
  5. Step 5: Solve for x
    x = 4,457,439,900,225/1,438,614
  6. Step 6: Final answer
    x = 3,098,426.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.