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Finding the Third Proportional to 695,602.69 and 1,510,174.13

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Solution

The third proportional to 695,602.69 and 1,510,174.13 is: 3,278,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,602.69 : 1,510,174.13 = 1,510,174.13 : x
  2. Step 2: Convert to fraction form
    695,602.69/1,510,174.13 = 1,510,174.13/x
  3. Step 3: Cross multiply
    695,602.69x = 1,510,174.13 × 1,510,174.13
  4. Step 4: Simplify right side
    695,602.69x = 2,280,625,887,819.52
  5. Step 5: Solve for x
    x = 2,280,625,887,819.52/695,602.69
  6. Step 6: Final answer
    x = 3,278,632.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.