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Finding the Third Proportional to 1,947,146 and 4,182,132

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Solution

The third proportional to 1,947,146 and 4,182,132 is: 8,982,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,146 : 4,182,132 = 4,182,132 : x
  2. Step 2: Convert to fraction form
    1,947,146/4,182,132 = 4,182,132/x
  3. Step 3: Cross multiply
    1,947,146x = 4,182,132 × 4,182,132
  4. Step 4: Simplify right side
    1,947,146x = 17,490,228,065,424
  5. Step 5: Solve for x
    x = 17,490,228,065,424/1,947,146
  6. Step 6: Final answer
    x = 8,982,494.41

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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.