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Finding the Third Proportional to 454,143 and 1,070,542

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Solution

The third proportional to 454,143 and 1,070,542 is: 2,523,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,143 : 1,070,542 = 1,070,542 : x
  2. Step 2: Convert to fraction form
    454,143/1,070,542 = 1,070,542/x
  3. Step 3: Cross multiply
    454,143x = 1,070,542 × 1,070,542
  4. Step 4: Simplify right side
    454,143x = 1,146,060,173,764
  5. Step 5: Solve for x
    x = 1,146,060,173,764/454,143
  6. Step 6: Final answer
    x = 2,523,566.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.