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Finding the Third Proportional to 662,705 and 1,442,722

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Solution

The third proportional to 662,705 and 1,442,722 is: 3,140,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,705 : 1,442,722 = 1,442,722 : x
  2. Step 2: Convert to fraction form
    662,705/1,442,722 = 1,442,722/x
  3. Step 3: Cross multiply
    662,705x = 1,442,722 × 1,442,722
  4. Step 4: Simplify right side
    662,705x = 2,081,446,769,284
  5. Step 5: Solve for x
    x = 2,081,446,769,284/662,705
  6. Step 6: Final answer
    x = 3,140,834.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.