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Finding the Third Proportional to 510,886.62 and 1,204,302.30

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Solution

The third proportional to 510,886.62 and 1,204,302.30 is: 2,838,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,886.62 : 1,204,302.30 = 1,204,302.30 : x
  2. Step 2: Convert to fraction form
    510,886.62/1,204,302.30 = 1,204,302.30/x
  3. Step 3: Cross multiply
    510,886.62x = 1,204,302.30 × 1,204,302.30
  4. Step 4: Simplify right side
    510,886.62x = 1,450,344,041,075.62
  5. Step 5: Solve for x
    x = 1,450,344,041,075.62/510,886.62
  6. Step 6: Final answer
    x = 2,838,876.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.