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Finding the Third Proportional to 810,227.50 and 1,766,246

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Solution

The third proportional to 810,227.50 and 1,766,246 is: 3,850,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,227.50 : 1,766,246 = 1,766,246 : x
  2. Step 2: Convert to fraction form
    810,227.50/1,766,246 = 1,766,246/x
  3. Step 3: Cross multiply
    810,227.50x = 1,766,246 × 1,766,246
  4. Step 4: Simplify right side
    810,227.50x = 3,119,624,932,516
  5. Step 5: Solve for x
    x = 3,119,624,932,516/810,227.50
  6. Step 6: Final answer
    x = 3,850,307.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.