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Finding the Third Proportional to 843,275.81 and 1,295,375.63

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Solution

The third proportional to 843,275.81 and 1,295,375.63 is: 1,989,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,275.81 : 1,295,375.63 = 1,295,375.63 : x
  2. Step 2: Convert to fraction form
    843,275.81/1,295,375.63 = 1,295,375.63/x
  3. Step 3: Cross multiply
    843,275.81x = 1,295,375.63 × 1,295,375.63
  4. Step 4: Simplify right side
    843,275.81x = 1,677,998,009,844.14
  5. Step 5: Solve for x
    x = 1,677,998,009,844.14/843,275.81
  6. Step 6: Final answer
    x = 1,989,856.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.