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Finding the Third Proportional to 695,572 and 1,465,861

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Solution

The third proportional to 695,572 and 1,465,861 is: 3,089,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,572 : 1,465,861 = 1,465,861 : x
  2. Step 2: Convert to fraction form
    695,572/1,465,861 = 1,465,861/x
  3. Step 3: Cross multiply
    695,572x = 1,465,861 × 1,465,861
  4. Step 4: Simplify right side
    695,572x = 2,148,748,471,321
  5. Step 5: Solve for x
    x = 2,148,748,471,321/695,572
  6. Step 6: Final answer
    x = 3,089,181.96

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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.