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Finding the Third Proportional to 424,656 and 928,068

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Solution

The third proportional to 424,656 and 928,068 is: 2,028,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,656 : 928,068 = 928,068 : x
  2. Step 2: Convert to fraction form
    424,656/928,068 = 928,068/x
  3. Step 3: Cross multiply
    424,656x = 928,068 × 928,068
  4. Step 4: Simplify right side
    424,656x = 861,310,212,624
  5. Step 5: Solve for x
    x = 861,310,212,624/424,656
  6. Step 6: Final answer
    x = 2,028,253.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.