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Finding the Third Proportional to 542,509 and 1,159,756

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Solution

The third proportional to 542,509 and 1,159,756 is: 2,479,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,509 : 1,159,756 = 1,159,756 : x
  2. Step 2: Convert to fraction form
    542,509/1,159,756 = 1,159,756/x
  3. Step 3: Cross multiply
    542,509x = 1,159,756 × 1,159,756
  4. Step 4: Simplify right side
    542,509x = 1,345,033,979,536
  5. Step 5: Solve for x
    x = 1,345,033,979,536/542,509
  6. Step 6: Final answer
    x = 2,479,284.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.