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Finding the Third Proportional to 519,806 and 1,128,550

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Solution

The third proportional to 519,806 and 1,128,550 is: 2,450,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,806 : 1,128,550 = 1,128,550 : x
  2. Step 2: Convert to fraction form
    519,806/1,128,550 = 1,128,550/x
  3. Step 3: Cross multiply
    519,806x = 1,128,550 × 1,128,550
  4. Step 4: Simplify right side
    519,806x = 1,273,625,102,500
  5. Step 5: Solve for x
    x = 1,273,625,102,500/519,806
  6. Step 6: Final answer
    x = 2,450,193.15

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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.