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Finding the Third Proportional to 695,439 and 1,465,599.38

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Solution

The third proportional to 695,439 and 1,465,599.38 is: 3,088,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,439 : 1,465,599.38 = 1,465,599.38 : x
  2. Step 2: Convert to fraction form
    695,439/1,465,599.38 = 1,465,599.38/x
  3. Step 3: Cross multiply
    695,439x = 1,465,599.38 × 1,465,599.38
  4. Step 4: Simplify right side
    695,439x = 2,147,981,528,000.39
  5. Step 5: Solve for x
    x = 2,147,981,528,000.39/695,439
  6. Step 6: Final answer
    x = 3,088,669.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.