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Finding the Third Proportional to 826,719.50 and 1,771,536

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Solution

The third proportional to 826,719.50 and 1,771,536 is: 3,796,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,719.50 : 1,771,536 = 1,771,536 : x
  2. Step 2: Convert to fraction form
    826,719.50/1,771,536 = 1,771,536/x
  3. Step 3: Cross multiply
    826,719.50x = 1,771,536 × 1,771,536
  4. Step 4: Simplify right side
    826,719.50x = 3,138,339,799,296
  5. Step 5: Solve for x
    x = 3,138,339,799,296/826,719.50
  6. Step 6: Final answer
    x = 3,796,136.17

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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.