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Finding the Third Proportional to 695,570 and 1,465,866

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Solution

The third proportional to 695,570 and 1,465,866 is: 3,089,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,570 : 1,465,866 = 1,465,866 : x
  2. Step 2: Convert to fraction form
    695,570/1,465,866 = 1,465,866/x
  3. Step 3: Cross multiply
    695,570x = 1,465,866 × 1,465,866
  4. Step 4: Simplify right side
    695,570x = 2,148,763,129,956
  5. Step 5: Solve for x
    x = 2,148,763,129,956/695,570
  6. Step 6: Final answer
    x = 3,089,211.91

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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.