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Finding the Third Proportional to 964,464 and 2,061,793.50

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Solution

The third proportional to 964,464 and 2,061,793.50 is: 4,407,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,464 : 2,061,793.50 = 2,061,793.50 : x
  2. Step 2: Convert to fraction form
    964,464/2,061,793.50 = 2,061,793.50/x
  3. Step 3: Cross multiply
    964,464x = 2,061,793.50 × 2,061,793.50
  4. Step 4: Simplify right side
    964,464x = 4,250,992,436,642.25
  5. Step 5: Solve for x
    x = 4,250,992,436,642.25/964,464
  6. Step 6: Final answer
    x = 4,407,621.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.