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Finding the Third Proportional to 846,756 and 1,826,464

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Solution

The third proportional to 846,756 and 1,826,464 is: 3,939,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,756 : 1,826,464 = 1,826,464 : x
  2. Step 2: Convert to fraction form
    846,756/1,826,464 = 1,826,464/x
  3. Step 3: Cross multiply
    846,756x = 1,826,464 × 1,826,464
  4. Step 4: Simplify right side
    846,756x = 3,335,970,743,296
  5. Step 5: Solve for x
    x = 3,335,970,743,296/846,756
  6. Step 6: Final answer
    x = 3,939,707.24

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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.