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Finding the Third Proportional to 633,924 and 984,742

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Solution

The third proportional to 633,924 and 984,742 is: 1,529,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,924 : 984,742 = 984,742 : x
  2. Step 2: Convert to fraction form
    633,924/984,742 = 984,742/x
  3. Step 3: Cross multiply
    633,924x = 984,742 × 984,742
  4. Step 4: Simplify right side
    633,924x = 969,716,806,564
  5. Step 5: Solve for x
    x = 969,716,806,564/633,924
  6. Step 6: Final answer
    x = 1,529,705.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.