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Finding the Third Proportional to 839,243 and 1,796,281

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Solution

The third proportional to 839,243 and 1,796,281 is: 3,844,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,243 : 1,796,281 = 1,796,281 : x
  2. Step 2: Convert to fraction form
    839,243/1,796,281 = 1,796,281/x
  3. Step 3: Cross multiply
    839,243x = 1,796,281 × 1,796,281
  4. Step 4: Simplify right side
    839,243x = 3,226,625,430,961
  5. Step 5: Solve for x
    x = 3,226,625,430,961/839,243
  6. Step 6: Final answer
    x = 3,844,685.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.