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Finding the Third Proportional to 1,542,674 and 3,322,413

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Solution

The third proportional to 1,542,674 and 3,322,413 is: 7,155,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,674 : 3,322,413 = 3,322,413 : x
  2. Step 2: Convert to fraction form
    1,542,674/3,322,413 = 3,322,413/x
  3. Step 3: Cross multiply
    1,542,674x = 3,322,413 × 3,322,413
  4. Step 4: Simplify right side
    1,542,674x = 11,038,428,142,569
  5. Step 5: Solve for x
    x = 11,038,428,142,569/1,542,674
  6. Step 6: Final answer
    x = 7,155,386.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.