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Finding the Third Proportional to 2,711,448 and 3,854,749.50

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Solution

The third proportional to 2,711,448 and 3,854,749.50 is: 5,480,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,448 : 3,854,749.50 = 3,854,749.50 : x
  2. Step 2: Convert to fraction form
    2,711,448/3,854,749.50 = 3,854,749.50/x
  3. Step 3: Cross multiply
    2,711,448x = 3,854,749.50 × 3,854,749.50
  4. Step 4: Simplify right side
    2,711,448x = 14,859,093,707,750.25
  5. Step 5: Solve for x
    x = 14,859,093,707,750.25/2,711,448
  6. Step 6: Final answer
    x = 5,480,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.