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Finding the Third Proportional to 2,850,884 and 5,748,424

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Solution

The third proportional to 2,850,884 and 5,748,424 is: 11,590,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850,884 : 5,748,424 = 5,748,424 : x
  2. Step 2: Convert to fraction form
    2,850,884/5,748,424 = 5,748,424/x
  3. Step 3: Cross multiply
    2,850,884x = 5,748,424 × 5,748,424
  4. Step 4: Simplify right side
    2,850,884x = 33,044,378,483,776
  5. Step 5: Solve for x
    x = 33,044,378,483,776/2,850,884
  6. Step 6: Final answer
    x = 11,590,923.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.