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Finding the Third Proportional to 1,001,532.09 and 1,551,961.27

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Solution

The third proportional to 1,001,532.09 and 1,551,961.27 is: 2,404,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,532.09 : 1,551,961.27 = 1,551,961.27 : x
  2. Step 2: Convert to fraction form
    1,001,532.09/1,551,961.27 = 1,551,961.27/x
  3. Step 3: Cross multiply
    1,001,532.09x = 1,551,961.27 × 1,551,961.27
  4. Step 4: Simplify right side
    1,001,532.09x = 2,408,583,770,000.35
  5. Step 5: Solve for x
    x = 2,408,583,770,000.35/1,001,532.09
  6. Step 6: Final answer
    x = 2,404,899.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.