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Finding the Third Proportional to 641,201 and 1,000,620

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Solution

The third proportional to 641,201 and 1,000,620 is: 1,561,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,201 : 1,000,620 = 1,000,620 : x
  2. Step 2: Convert to fraction form
    641,201/1,000,620 = 1,000,620/x
  3. Step 3: Cross multiply
    641,201x = 1,000,620 × 1,000,620
  4. Step 4: Simplify right side
    641,201x = 1,001,240,384,400
  5. Step 5: Solve for x
    x = 1,001,240,384,400/641,201
  6. Step 6: Final answer
    x = 1,561,507.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.