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Finding the Third Proportional to 1,261,172.25 and 2,767,612.50

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Solution

The third proportional to 1,261,172.25 and 2,767,612.50 is: 6,073,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,172.25 : 2,767,612.50 = 2,767,612.50 : x
  2. Step 2: Convert to fraction form
    1,261,172.25/2,767,612.50 = 2,767,612.50/x
  3. Step 3: Cross multiply
    1,261,172.25x = 2,767,612.50 × 2,767,612.50
  4. Step 4: Simplify right side
    1,261,172.25x = 7,659,678,950,156.25
  5. Step 5: Solve for x
    x = 7,659,678,950,156.25/1,261,172.25
  6. Step 6: Final answer
    x = 6,073,459.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.