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Finding the Third Proportional to 846,746 and 1,826,439

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Solution

The third proportional to 846,746 and 1,826,439 is: 3,939,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,746 : 1,826,439 = 1,826,439 : x
  2. Step 2: Convert to fraction form
    846,746/1,826,439 = 1,826,439/x
  3. Step 3: Cross multiply
    846,746x = 1,826,439 × 1,826,439
  4. Step 4: Simplify right side
    846,746x = 3,335,879,420,721
  5. Step 5: Solve for x
    x = 3,335,879,420,721/846,746
  6. Step 6: Final answer
    x = 3,939,645.92

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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.