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Finding the Third Proportional to 536,504 and 1,160,124

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Solution

The third proportional to 536,504 and 1,160,124 is: 2,508,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,504 : 1,160,124 = 1,160,124 : x
  2. Step 2: Convert to fraction form
    536,504/1,160,124 = 1,160,124/x
  3. Step 3: Cross multiply
    536,504x = 1,160,124 × 1,160,124
  4. Step 4: Simplify right side
    536,504x = 1,345,887,695,376
  5. Step 5: Solve for x
    x = 1,345,887,695,376/536,504
  6. Step 6: Final answer
    x = 2,508,625.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.