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Finding the Third Proportional to 714,444 and 1,541,061

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Solution

The third proportional to 714,444 and 1,541,061 is: 3,324,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,444 : 1,541,061 = 1,541,061 : x
  2. Step 2: Convert to fraction form
    714,444/1,541,061 = 1,541,061/x
  3. Step 3: Cross multiply
    714,444x = 1,541,061 × 1,541,061
  4. Step 4: Simplify right side
    714,444x = 2,374,869,005,721
  5. Step 5: Solve for x
    x = 2,374,869,005,721/714,444
  6. Step 6: Final answer
    x = 3,324,079.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.