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Finding the Third Proportional to 661,950 and 1,428,849

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Solution

The third proportional to 661,950 and 1,428,849 is: 3,084,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,950 : 1,428,849 = 1,428,849 : x
  2. Step 2: Convert to fraction form
    661,950/1,428,849 = 1,428,849/x
  3. Step 3: Cross multiply
    661,950x = 1,428,849 × 1,428,849
  4. Step 4: Simplify right side
    661,950x = 2,041,609,464,801
  5. Step 5: Solve for x
    x = 2,041,609,464,801/661,950
  6. Step 6: Final answer
    x = 3,084,235.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.