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Finding the Third Proportional to 827,167.50 and 1,299,798

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Solution

The third proportional to 827,167.50 and 1,299,798 is: 2,042,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,167.50 : 1,299,798 = 1,299,798 : x
  2. Step 2: Convert to fraction form
    827,167.50/1,299,798 = 1,299,798/x
  3. Step 3: Cross multiply
    827,167.50x = 1,299,798 × 1,299,798
  4. Step 4: Simplify right side
    827,167.50x = 1,689,474,840,804
  5. Step 5: Solve for x
    x = 1,689,474,840,804/827,167.50
  6. Step 6: Final answer
    x = 2,042,482.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.