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Finding the Third Proportional to 502,872.19 and 1,095,513.75

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Solution

The third proportional to 502,872.19 and 1,095,513.75 is: 2,386,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,872.19 : 1,095,513.75 = 1,095,513.75 : x
  2. Step 2: Convert to fraction form
    502,872.19/1,095,513.75 = 1,095,513.75/x
  3. Step 3: Cross multiply
    502,872.19x = 1,095,513.75 × 1,095,513.75
  4. Step 4: Simplify right side
    502,872.19x = 1,200,150,376,439.06
  5. Step 5: Solve for x
    x = 1,200,150,376,439.06/502,872.19
  6. Step 6: Final answer
    x = 2,386,591.28

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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.