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Finding the Third Proportional to 524,480 and 1,149,048

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Solution

The third proportional to 524,480 and 1,149,048 is: 2,517,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,480 : 1,149,048 = 1,149,048 : x
  2. Step 2: Convert to fraction form
    524,480/1,149,048 = 1,149,048/x
  3. Step 3: Cross multiply
    524,480x = 1,149,048 × 1,149,048
  4. Step 4: Simplify right side
    524,480x = 1,320,311,306,304
  5. Step 5: Solve for x
    x = 1,320,311,306,304/524,480
  6. Step 6: Final answer
    x = 2,517,372.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.