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Finding the Third Proportional to 903,582 and 1,882,017

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Solution

The third proportional to 903,582 and 1,882,017 is: 3,919,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,582 : 1,882,017 = 1,882,017 : x
  2. Step 2: Convert to fraction form
    903,582/1,882,017 = 1,882,017/x
  3. Step 3: Cross multiply
    903,582x = 1,882,017 × 1,882,017
  4. Step 4: Simplify right side
    903,582x = 3,541,987,988,289
  5. Step 5: Solve for x
    x = 3,541,987,988,289/903,582
  6. Step 6: Final answer
    x = 3,919,940.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.