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Finding the Third Proportional to 660,707 and 1,442,761

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Solution

The third proportional to 660,707 and 1,442,761 is: 3,150,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,707 : 1,442,761 = 1,442,761 : x
  2. Step 2: Convert to fraction form
    660,707/1,442,761 = 1,442,761/x
  3. Step 3: Cross multiply
    660,707x = 1,442,761 × 1,442,761
  4. Step 4: Simplify right side
    660,707x = 2,081,559,303,121
  5. Step 5: Solve for x
    x = 2,081,559,303,121/660,707
  6. Step 6: Final answer
    x = 3,150,502.88

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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.