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Finding the Third Proportional to 811,277.50 and 1,731,140.25

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Solution

The third proportional to 811,277.50 and 1,731,140.25 is: 3,693,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,277.50 : 1,731,140.25 = 1,731,140.25 : x
  2. Step 2: Convert to fraction form
    811,277.50/1,731,140.25 = 1,731,140.25/x
  3. Step 3: Cross multiply
    811,277.50x = 1,731,140.25 × 1,731,140.25
  4. Step 4: Simplify right side
    811,277.50x = 2,996,846,565,170.06
  5. Step 5: Solve for x
    x = 2,996,846,565,170.06/811,277.50
  6. Step 6: Final answer
    x = 3,693,984.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.