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Finding the Third Proportional to 842,283 and 1,375,227

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Solution

The third proportional to 842,283 and 1,375,227 is: 2,245,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,283 : 1,375,227 = 1,375,227 : x
  2. Step 2: Convert to fraction form
    842,283/1,375,227 = 1,375,227/x
  3. Step 3: Cross multiply
    842,283x = 1,375,227 × 1,375,227
  4. Step 4: Simplify right side
    842,283x = 1,891,249,301,529
  5. Step 5: Solve for x
    x = 1,891,249,301,529/842,283
  6. Step 6: Final answer
    x = 2,245,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.