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Finding the Third Proportional to 1,340,256 and 2,890,448

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Solution

The third proportional to 1,340,256 and 2,890,448 is: 6,233,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,256 : 2,890,448 = 2,890,448 : x
  2. Step 2: Convert to fraction form
    1,340,256/2,890,448 = 2,890,448/x
  3. Step 3: Cross multiply
    1,340,256x = 2,890,448 × 2,890,448
  4. Step 4: Simplify right side
    1,340,256x = 8,354,689,640,704
  5. Step 5: Solve for x
    x = 8,354,689,640,704/1,340,256
  6. Step 6: Final answer
    x = 6,233,652.11

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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.