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Finding the Third Proportional to 1,152,948 and 1,642,398

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Solution

The third proportional to 1,152,948 and 1,642,398 is: 2,339,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,948 : 1,642,398 = 1,642,398 : x
  2. Step 2: Convert to fraction form
    1,152,948/1,642,398 = 1,642,398/x
  3. Step 3: Cross multiply
    1,152,948x = 1,642,398 × 1,642,398
  4. Step 4: Simplify right side
    1,152,948x = 2,697,471,190,404
  5. Step 5: Solve for x
    x = 2,697,471,190,404/1,152,948
  6. Step 6: Final answer
    x = 2,339,629.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.