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Finding the Third Proportional to 1,264,746 and 2,741,118

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Solution

The third proportional to 1,264,746 and 2,741,118 is: 5,940,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,746 : 2,741,118 = 2,741,118 : x
  2. Step 2: Convert to fraction form
    1,264,746/2,741,118 = 2,741,118/x
  3. Step 3: Cross multiply
    1,264,746x = 2,741,118 × 2,741,118
  4. Step 4: Simplify right side
    1,264,746x = 7,513,727,889,924
  5. Step 5: Solve for x
    x = 7,513,727,889,924/1,264,746
  6. Step 6: Final answer
    x = 5,940,898.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.