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Finding the Third Proportional to 849,336 and 1,840,368

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Solution

The third proportional to 849,336 and 1,840,368 is: 3,987,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,336 : 1,840,368 = 1,840,368 : x
  2. Step 2: Convert to fraction form
    849,336/1,840,368 = 1,840,368/x
  3. Step 3: Cross multiply
    849,336x = 1,840,368 × 1,840,368
  4. Step 4: Simplify right side
    849,336x = 3,386,954,375,424
  5. Step 5: Solve for x
    x = 3,386,954,375,424/849,336
  6. Step 6: Final answer
    x = 3,987,767.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.