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Finding the Third Proportional to 714,264 and 1,080,612

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Solution

The third proportional to 714,264 and 1,080,612 is: 1,634,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,264 : 1,080,612 = 1,080,612 : x
  2. Step 2: Convert to fraction form
    714,264/1,080,612 = 1,080,612/x
  3. Step 3: Cross multiply
    714,264x = 1,080,612 × 1,080,612
  4. Step 4: Simplify right side
    714,264x = 1,167,722,294,544
  5. Step 5: Solve for x
    x = 1,167,722,294,544/714,264
  6. Step 6: Final answer
    x = 1,634,860.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.