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Finding the Third Proportional to 472,614 and 1,019,436

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Solution

The third proportional to 472,614 and 1,019,436 is: 2,198,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,614 : 1,019,436 = 1,019,436 : x
  2. Step 2: Convert to fraction form
    472,614/1,019,436 = 1,019,436/x
  3. Step 3: Cross multiply
    472,614x = 1,019,436 × 1,019,436
  4. Step 4: Simplify right side
    472,614x = 1,039,249,758,096
  5. Step 5: Solve for x
    x = 1,039,249,758,096/472,614
  6. Step 6: Final answer
    x = 2,198,939.85

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