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Finding the Third Proportional to 951,920 and 2,069,728

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Solution

The third proportional to 951,920 and 2,069,728 is: 4,500,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,920 : 2,069,728 = 2,069,728 : x
  2. Step 2: Convert to fraction form
    951,920/2,069,728 = 2,069,728/x
  3. Step 3: Cross multiply
    951,920x = 2,069,728 × 2,069,728
  4. Step 4: Simplify right side
    951,920x = 4,283,773,993,984
  5. Step 5: Solve for x
    x = 4,283,773,993,984/951,920
  6. Step 6: Final answer
    x = 4,500,140.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.