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Finding the Third Proportional to 1,030,462.50 and 2,232,456

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Solution

The third proportional to 1,030,462.50 and 2,232,456 is: 4,836,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,462.50 : 2,232,456 = 2,232,456 : x
  2. Step 2: Convert to fraction form
    1,030,462.50/2,232,456 = 2,232,456/x
  3. Step 3: Cross multiply
    1,030,462.50x = 2,232,456 × 2,232,456
  4. Step 4: Simplify right side
    1,030,462.50x = 4,983,859,791,936
  5. Step 5: Solve for x
    x = 4,983,859,791,936/1,030,462.50
  6. Step 6: Final answer
    x = 4,836,527.09

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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.