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Finding the Third Proportional to 846,743 and 1,826,434

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Solution

The third proportional to 846,743 and 1,826,434 is: 3,939,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,743 : 1,826,434 = 1,826,434 : x
  2. Step 2: Convert to fraction form
    846,743/1,826,434 = 1,826,434/x
  3. Step 3: Cross multiply
    846,743x = 1,826,434 × 1,826,434
  4. Step 4: Simplify right side
    846,743x = 3,335,861,156,356
  5. Step 5: Solve for x
    x = 3,335,861,156,356/846,743
  6. Step 6: Final answer
    x = 3,939,638.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.