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Finding the Third Proportional to 728,730 and 1,600,938

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Solution

The third proportional to 728,730 and 1,600,938 is: 3,517,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,730 : 1,600,938 = 1,600,938 : x
  2. Step 2: Convert to fraction form
    728,730/1,600,938 = 1,600,938/x
  3. Step 3: Cross multiply
    728,730x = 1,600,938 × 1,600,938
  4. Step 4: Simplify right side
    728,730x = 2,563,002,479,844
  5. Step 5: Solve for x
    x = 2,563,002,479,844/728,730
  6. Step 6: Final answer
    x = 3,517,081.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.