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Finding the Third Proportional to 1,284,220.83 and 2,767,116.94

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Solution

The third proportional to 1,284,220.83 and 2,767,116.94 is: 5,962,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,220.83 : 2,767,116.94 = 2,767,116.94 : x
  2. Step 2: Convert to fraction form
    1,284,220.83/2,767,116.94 = 2,767,116.94/x
  3. Step 3: Cross multiply
    1,284,220.83x = 2,767,116.94 × 2,767,116.94
  4. Step 4: Simplify right side
    1,284,220.83x = 7,656,936,145,799.38
  5. Step 5: Solve for x
    x = 7,656,936,145,799.38/1,284,220.83
  6. Step 6: Final answer
    x = 5,962,320.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.