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Finding the Third Proportional to 2,235,680 and 3,160,414

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Solution

The third proportional to 2,235,680 and 3,160,414 is: 4,467,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,680 : 3,160,414 = 3,160,414 : x
  2. Step 2: Convert to fraction form
    2,235,680/3,160,414 = 3,160,414/x
  3. Step 3: Cross multiply
    2,235,680x = 3,160,414 × 3,160,414
  4. Step 4: Simplify right side
    2,235,680x = 9,988,216,651,396
  5. Step 5: Solve for x
    x = 9,988,216,651,396/2,235,680
  6. Step 6: Final answer
    x = 4,467,641.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.