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Finding the Third Proportional to 641,496 and 896,851

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Solution

The third proportional to 641,496 and 896,851 is: 1,253,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,496 : 896,851 = 896,851 : x
  2. Step 2: Convert to fraction form
    641,496/896,851 = 896,851/x
  3. Step 3: Cross multiply
    641,496x = 896,851 × 896,851
  4. Step 4: Simplify right side
    641,496x = 804,341,716,201
  5. Step 5: Solve for x
    x = 804,341,716,201/641,496
  6. Step 6: Final answer
    x = 1,253,853.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.