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Finding the Third Proportional to 811,276.45 and 1,731,138.05

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Solution

The third proportional to 811,276.45 and 1,731,138.05 is: 3,693,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,276.45 : 1,731,138.05 = 1,731,138.05 : x
  2. Step 2: Convert to fraction form
    811,276.45/1,731,138.05 = 1,731,138.05/x
  3. Step 3: Cross multiply
    811,276.45x = 1,731,138.05 × 1,731,138.05
  4. Step 4: Simplify right side
    811,276.45x = 2,996,838,937,338.19
  5. Step 5: Solve for x
    x = 2,996,838,937,338.19/811,276.45
  6. Step 6: Final answer
    x = 3,693,979.93

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