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Finding the Third Proportional to 1,996,884 and 4,373,617.50

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Solution

The third proportional to 1,996,884 and 4,373,617.50 is: 9,579,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,884 : 4,373,617.50 = 4,373,617.50 : x
  2. Step 2: Convert to fraction form
    1,996,884/4,373,617.50 = 4,373,617.50/x
  3. Step 3: Cross multiply
    1,996,884x = 4,373,617.50 × 4,373,617.50
  4. Step 4: Simplify right side
    1,996,884x = 19,128,530,036,306.25
  5. Step 5: Solve for x
    x = 19,128,530,036,306.25/1,996,884
  6. Step 6: Final answer
    x = 9,579,189.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.