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Finding the Third Proportional to 4,799,250 and 6,749,811

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Solution

The third proportional to 4,799,250 and 6,749,811 is: 9,493,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799,250 : 6,749,811 = 6,749,811 : x
  2. Step 2: Convert to fraction form
    4,799,250/6,749,811 = 6,749,811/x
  3. Step 3: Cross multiply
    4,799,250x = 6,749,811 × 6,749,811
  4. Step 4: Simplify right side
    4,799,250x = 45,559,948,535,721
  5. Step 5: Solve for x
    x = 45,559,948,535,721/4,799,250
  6. Step 6: Final answer
    x = 9,493,139.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.