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Finding the Third Proportional to 695,511 and 1,465,744

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Solution

The third proportional to 695,511 and 1,465,744 is: 3,088,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,511 : 1,465,744 = 1,465,744 : x
  2. Step 2: Convert to fraction form
    695,511/1,465,744 = 1,465,744/x
  3. Step 3: Cross multiply
    695,511x = 1,465,744 × 1,465,744
  4. Step 4: Simplify right side
    695,511x = 2,148,405,473,536
  5. Step 5: Solve for x
    x = 2,148,405,473,536/695,511
  6. Step 6: Final answer
    x = 3,088,959.73

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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.