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Finding the Third Proportional to 846,862.59 and 1,861,182.56

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Solution

The third proportional to 846,862.59 and 1,861,182.56 is: 4,090,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,862.59 : 1,861,182.56 = 1,861,182.56 : x
  2. Step 2: Convert to fraction form
    846,862.59/1,861,182.56 = 1,861,182.56/x
  3. Step 3: Cross multiply
    846,862.59x = 1,861,182.56 × 1,861,182.56
  4. Step 4: Simplify right side
    846,862.59x = 3,464,000,530,954.07
  5. Step 5: Solve for x
    x = 3,464,000,530,954.07/846,862.59
  6. Step 6: Final answer
    x = 4,090,392.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.