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Finding the Third Proportional to 1,245,761 and 1,923,849.50

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Solution

The third proportional to 1,245,761 and 1,923,849.50 is: 2,971,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,761 : 1,923,849.50 = 1,923,849.50 : x
  2. Step 2: Convert to fraction form
    1,245,761/1,923,849.50 = 1,923,849.50/x
  3. Step 3: Cross multiply
    1,245,761x = 1,923,849.50 × 1,923,849.50
  4. Step 4: Simplify right side
    1,245,761x = 3,701,196,898,650.25
  5. Step 5: Solve for x
    x = 3,701,196,898,650.25/1,245,761
  6. Step 6: Final answer
    x = 2,971,032.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.