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Finding the Third Proportional to 640,727 and 1,409,353

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Solution

The third proportional to 640,727 and 1,409,353 is: 3,100,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,727 : 1,409,353 = 1,409,353 : x
  2. Step 2: Convert to fraction form
    640,727/1,409,353 = 1,409,353/x
  3. Step 3: Cross multiply
    640,727x = 1,409,353 × 1,409,353
  4. Step 4: Simplify right side
    640,727x = 1,986,275,878,609
  5. Step 5: Solve for x
    x = 1,986,275,878,609/640,727
  6. Step 6: Final answer
    x = 3,100,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.