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Finding the Third Proportional to 722,348 and 1,120,041

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Solution

The third proportional to 722,348 and 1,120,041 is: 1,736,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,348 : 1,120,041 = 1,120,041 : x
  2. Step 2: Convert to fraction form
    722,348/1,120,041 = 1,120,041/x
  3. Step 3: Cross multiply
    722,348x = 1,120,041 × 1,120,041
  4. Step 4: Simplify right side
    722,348x = 1,254,491,841,681
  5. Step 5: Solve for x
    x = 1,254,491,841,681/722,348
  6. Step 6: Final answer
    x = 1,736,686.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.