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Finding the Third Proportional to 641,210 and 1,000,634

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Solution

The third proportional to 641,210 and 1,000,634 is: 1,561,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,210 : 1,000,634 = 1,000,634 : x
  2. Step 2: Convert to fraction form
    641,210/1,000,634 = 1,000,634/x
  3. Step 3: Cross multiply
    641,210x = 1,000,634 × 1,000,634
  4. Step 4: Simplify right side
    641,210x = 1,001,268,401,956
  5. Step 5: Solve for x
    x = 1,001,268,401,956/641,210
  6. Step 6: Final answer
    x = 1,561,529.61

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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.