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Finding the Third Proportional to 539,974 and 1,160,080

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Solution

The third proportional to 539,974 and 1,160,080 is: 2,492,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,974 : 1,160,080 = 1,160,080 : x
  2. Step 2: Convert to fraction form
    539,974/1,160,080 = 1,160,080/x
  3. Step 3: Cross multiply
    539,974x = 1,160,080 × 1,160,080
  4. Step 4: Simplify right side
    539,974x = 1,345,785,606,400
  5. Step 5: Solve for x
    x = 1,345,785,606,400/539,974
  6. Step 6: Final answer
    x = 2,492,315.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.