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Finding the Third Proportional to 968,962.50 and 2,121,876

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Solution

The third proportional to 968,962.50 and 2,121,876 is: 4,646,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,962.50 : 2,121,876 = 2,121,876 : x
  2. Step 2: Convert to fraction form
    968,962.50/2,121,876 = 2,121,876/x
  3. Step 3: Cross multiply
    968,962.50x = 2,121,876 × 2,121,876
  4. Step 4: Simplify right side
    968,962.50x = 4,502,357,759,376
  5. Step 5: Solve for x
    x = 4,502,357,759,376/968,962.50
  6. Step 6: Final answer
    x = 4,646,575.86

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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.