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Finding the Third Proportional to 1,251,643.50 and 2,569,641

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Solution

The third proportional to 1,251,643.50 and 2,569,641 is: 5,275,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,643.50 : 2,569,641 = 2,569,641 : x
  2. Step 2: Convert to fraction form
    1,251,643.50/2,569,641 = 2,569,641/x
  3. Step 3: Cross multiply
    1,251,643.50x = 2,569,641 × 2,569,641
  4. Step 4: Simplify right side
    1,251,643.50x = 6,603,054,868,881
  5. Step 5: Solve for x
    x = 6,603,054,868,881/1,251,643.50
  6. Step 6: Final answer
    x = 5,275,507.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.