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Finding the Third Proportional to 1,264,826 and 1,660,617

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Solution

The third proportional to 1,264,826 and 1,660,617 is: 2,180,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,826 : 1,660,617 = 1,660,617 : x
  2. Step 2: Convert to fraction form
    1,264,826/1,660,617 = 1,660,617/x
  3. Step 3: Cross multiply
    1,264,826x = 1,660,617 × 1,660,617
  4. Step 4: Simplify right side
    1,264,826x = 2,757,648,820,689
  5. Step 5: Solve for x
    x = 2,757,648,820,689/1,264,826
  6. Step 6: Final answer
    x = 2,180,259.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.