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Finding the Third Proportional to 695,581 and 1,465,879

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Solution

The third proportional to 695,581 and 1,465,879 is: 3,089,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,581 : 1,465,879 = 1,465,879 : x
  2. Step 2: Convert to fraction form
    695,581/1,465,879 = 1,465,879/x
  3. Step 3: Cross multiply
    695,581x = 1,465,879 × 1,465,879
  4. Step 4: Simplify right side
    695,581x = 2,148,801,242,641
  5. Step 5: Solve for x
    x = 2,148,801,242,641/695,581
  6. Step 6: Final answer
    x = 3,089,217.85

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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.