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Finding the Third Proportional to 695,116 and 1,074,595

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Solution

The third proportional to 695,116 and 1,074,595 is: 1,661,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,116 : 1,074,595 = 1,074,595 : x
  2. Step 2: Convert to fraction form
    695,116/1,074,595 = 1,074,595/x
  3. Step 3: Cross multiply
    695,116x = 1,074,595 × 1,074,595
  4. Step 4: Simplify right side
    695,116x = 1,154,754,414,025
  5. Step 5: Solve for x
    x = 1,154,754,414,025/695,116
  6. Step 6: Final answer
    x = 1,661,239.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.