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Finding the Third Proportional to 1,057,538 and 1,541,732

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Solution

The third proportional to 1,057,538 and 1,541,732 is: 2,247,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,538 : 1,541,732 = 1,541,732 : x
  2. Step 2: Convert to fraction form
    1,057,538/1,541,732 = 1,541,732/x
  3. Step 3: Cross multiply
    1,057,538x = 1,541,732 × 1,541,732
  4. Step 4: Simplify right side
    1,057,538x = 2,376,937,559,824
  5. Step 5: Solve for x
    x = 2,376,937,559,824/1,057,538
  6. Step 6: Final answer
    x = 2,247,614.33

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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.