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Finding the Third Proportional to 641,236 and 1,000,674

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Solution

The third proportional to 641,236 and 1,000,674 is: 1,561,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,236 : 1,000,674 = 1,000,674 : x
  2. Step 2: Convert to fraction form
    641,236/1,000,674 = 1,000,674/x
  3. Step 3: Cross multiply
    641,236x = 1,000,674 × 1,000,674
  4. Step 4: Simplify right side
    641,236x = 1,001,348,454,276
  5. Step 5: Solve for x
    x = 1,001,348,454,276/641,236
  6. Step 6: Final answer
    x = 1,561,591.14

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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.