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Finding the Third Proportional to 1,012,893 and 2,161,383

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Solution

The third proportional to 1,012,893 and 2,161,383 is: 4,612,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,893 : 2,161,383 = 2,161,383 : x
  2. Step 2: Convert to fraction form
    1,012,893/2,161,383 = 2,161,383/x
  3. Step 3: Cross multiply
    1,012,893x = 2,161,383 × 2,161,383
  4. Step 4: Simplify right side
    1,012,893x = 4,671,576,472,689
  5. Step 5: Solve for x
    x = 4,671,576,472,689/1,012,893
  6. Step 6: Final answer
    x = 4,612,112.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.