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Finding the Third Proportional to 1,943,820 and 4,241,922.50

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Solution

The third proportional to 1,943,820 and 4,241,922.50 is: 9,256,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,820 : 4,241,922.50 = 4,241,922.50 : x
  2. Step 2: Convert to fraction form
    1,943,820/4,241,922.50 = 4,241,922.50/x
  3. Step 3: Cross multiply
    1,943,820x = 4,241,922.50 × 4,241,922.50
  4. Step 4: Simplify right side
    1,943,820x = 17,993,906,496,006.25
  5. Step 5: Solve for x
    x = 17,993,906,496,006.25/1,943,820
  6. Step 6: Final answer
    x = 9,256,981.87

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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.