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Finding the Third Proportional to 1,057,642 and 1,542,164

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Solution

The third proportional to 1,057,642 and 1,542,164 is: 2,248,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,642 : 1,542,164 = 1,542,164 : x
  2. Step 2: Convert to fraction form
    1,057,642/1,542,164 = 1,542,164/x
  3. Step 3: Cross multiply
    1,057,642x = 1,542,164 × 1,542,164
  4. Step 4: Simplify right side
    1,057,642x = 2,378,269,802,896
  5. Step 5: Solve for x
    x = 2,378,269,802,896/1,057,642
  6. Step 6: Final answer
    x = 2,248,652.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.