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Finding the Third Proportional to 695,436.75 and 1,465,596

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Solution

The third proportional to 695,436.75 and 1,465,596 is: 3,088,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,436.75 : 1,465,596 = 1,465,596 : x
  2. Step 2: Convert to fraction form
    695,436.75/1,465,596 = 1,465,596/x
  3. Step 3: Cross multiply
    695,436.75x = 1,465,596 × 1,465,596
  4. Step 4: Simplify right side
    695,436.75x = 2,147,971,635,216
  5. Step 5: Solve for x
    x = 2,147,971,635,216/695,436.75
  6. Step 6: Final answer
    x = 3,088,665.70

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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.