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Finding the Third Proportional to 1,943,820 and 4,241,922.75

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Solution

The third proportional to 1,943,820 and 4,241,922.75 is: 9,256,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,820 : 4,241,922.75 = 4,241,922.75 : x
  2. Step 2: Convert to fraction form
    1,943,820/4,241,922.75 = 4,241,922.75/x
  3. Step 3: Cross multiply
    1,943,820x = 4,241,922.75 × 4,241,922.75
  4. Step 4: Simplify right side
    1,943,820x = 17,993,908,616,967.56
  5. Step 5: Solve for x
    x = 17,993,908,616,967.56/1,943,820
  6. Step 6: Final answer
    x = 9,256,982.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.