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Finding the Third Proportional to 535,884 and 1,126,920

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Solution

The third proportional to 535,884 and 1,126,920 is: 2,369,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,884 : 1,126,920 = 1,126,920 : x
  2. Step 2: Convert to fraction form
    535,884/1,126,920 = 1,126,920/x
  3. Step 3: Cross multiply
    535,884x = 1,126,920 × 1,126,920
  4. Step 4: Simplify right side
    535,884x = 1,269,948,686,400
  5. Step 5: Solve for x
    x = 1,269,948,686,400/535,884
  6. Step 6: Final answer
    x = 2,369,820.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.