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Finding the Third Proportional to 695,488 and 1,465,686

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Solution

The third proportional to 695,488 and 1,465,686 is: 3,088,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,488 : 1,465,686 = 1,465,686 : x
  2. Step 2: Convert to fraction form
    695,488/1,465,686 = 1,465,686/x
  3. Step 3: Cross multiply
    695,488x = 1,465,686 × 1,465,686
  4. Step 4: Simplify right side
    695,488x = 2,148,235,450,596
  5. Step 5: Solve for x
    x = 2,148,235,450,596/695,488
  6. Step 6: Final answer
    x = 3,088,817.42

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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.