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Finding the Third Proportional to 810,232.50 and 1,769,956.50

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Solution

The third proportional to 810,232.50 and 1,769,956.50 is: 3,866,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,232.50 : 1,769,956.50 = 1,769,956.50 : x
  2. Step 2: Convert to fraction form
    810,232.50/1,769,956.50 = 1,769,956.50/x
  3. Step 3: Cross multiply
    810,232.50x = 1,769,956.50 × 1,769,956.50
  4. Step 4: Simplify right side
    810,232.50x = 3,132,746,011,892.25
  5. Step 5: Solve for x
    x = 3,132,746,011,892.25/810,232.50
  6. Step 6: Final answer
    x = 3,866,477.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.