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Finding the Third Proportional to 714,460 and 1,541,099

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Solution

The third proportional to 714,460 and 1,541,099 is: 3,324,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,460 : 1,541,099 = 1,541,099 : x
  2. Step 2: Convert to fraction form
    714,460/1,541,099 = 1,541,099/x
  3. Step 3: Cross multiply
    714,460x = 1,541,099 × 1,541,099
  4. Step 4: Simplify right side
    714,460x = 2,374,986,127,801
  5. Step 5: Solve for x
    x = 2,374,986,127,801/714,460
  6. Step 6: Final answer
    x = 3,324,169.48

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Why These Related Problems?

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