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Finding the Third Proportional to 1,533,498 and 2,321,739

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Solution

The third proportional to 1,533,498 and 2,321,739 is: 3,515,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,498 : 2,321,739 = 2,321,739 : x
  2. Step 2: Convert to fraction form
    1,533,498/2,321,739 = 2,321,739/x
  3. Step 3: Cross multiply
    1,533,498x = 2,321,739 × 2,321,739
  4. Step 4: Simplify right side
    1,533,498x = 5,390,471,984,121
  5. Step 5: Solve for x
    x = 5,390,471,984,121/1,533,498
  6. Step 6: Final answer
    x = 3,515,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.