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Finding the Third Proportional to 2,057,584 and 2,775,579

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Solution

The third proportional to 2,057,584 and 2,775,579 is: 3,744,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,584 : 2,775,579 = 2,775,579 : x
  2. Step 2: Convert to fraction form
    2,057,584/2,775,579 = 2,775,579/x
  3. Step 3: Cross multiply
    2,057,584x = 2,775,579 × 2,775,579
  4. Step 4: Simplify right side
    2,057,584x = 7,703,838,785,241
  5. Step 5: Solve for x
    x = 7,703,838,785,241/2,057,584
  6. Step 6: Final answer
    x = 3,744,118.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.