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Finding the Third Proportional to 580,151 and 1,246,006

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Solution

The third proportional to 580,151 and 1,246,006 is: 2,676,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,151 : 1,246,006 = 1,246,006 : x
  2. Step 2: Convert to fraction form
    580,151/1,246,006 = 1,246,006/x
  3. Step 3: Cross multiply
    580,151x = 1,246,006 × 1,246,006
  4. Step 4: Simplify right side
    580,151x = 1,552,530,952,036
  5. Step 5: Solve for x
    x = 1,552,530,952,036/580,151
  6. Step 6: Final answer
    x = 2,676,080.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.