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Finding the Third Proportional to 966,196.50 and 2,098,878.75

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Solution

The third proportional to 966,196.50 and 2,098,878.75 is: 4,559,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,196.50 : 2,098,878.75 = 2,098,878.75 : x
  2. Step 2: Convert to fraction form
    966,196.50/2,098,878.75 = 2,098,878.75/x
  3. Step 3: Cross multiply
    966,196.50x = 2,098,878.75 × 2,098,878.75
  4. Step 4: Simplify right side
    966,196.50x = 4,405,292,007,201.56
  5. Step 5: Solve for x
    x = 4,405,292,007,201.56/966,196.50
  6. Step 6: Final answer
    x = 4,559,416.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.