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Finding the Third Proportional to 1,293,562.50 and 2,813,633.25

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Solution

The third proportional to 1,293,562.50 and 2,813,633.25 is: 6,119,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,562.50 : 2,813,633.25 = 2,813,633.25 : x
  2. Step 2: Convert to fraction form
    1,293,562.50/2,813,633.25 = 2,813,633.25/x
  3. Step 3: Cross multiply
    1,293,562.50x = 2,813,633.25 × 2,813,633.25
  4. Step 4: Simplify right side
    1,293,562.50x = 7,916,532,065,505.56
  5. Step 5: Solve for x
    x = 7,916,532,065,505.56/1,293,562.50
  6. Step 6: Final answer
    x = 6,119,945.55

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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.