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Finding the Third Proportional to 1,769,028 and 3,869,277

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Solution

The third proportional to 1,769,028 and 3,869,277 is: 8,463,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,028 : 3,869,277 = 3,869,277 : x
  2. Step 2: Convert to fraction form
    1,769,028/3,869,277 = 3,869,277/x
  3. Step 3: Cross multiply
    1,769,028x = 3,869,277 × 3,869,277
  4. Step 4: Simplify right side
    1,769,028x = 14,971,304,502,729
  5. Step 5: Solve for x
    x = 14,971,304,502,729/1,769,028
  6. Step 6: Final answer
    x = 8,463,011.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.