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Finding the Third Proportional to 417,012 and 893,073

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Solution

The third proportional to 417,012 and 893,073 is: 1,912,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,012 : 893,073 = 893,073 : x
  2. Step 2: Convert to fraction form
    417,012/893,073 = 893,073/x
  3. Step 3: Cross multiply
    417,012x = 893,073 × 893,073
  4. Step 4: Simplify right side
    417,012x = 797,579,383,329
  5. Step 5: Solve for x
    x = 797,579,383,329/417,012
  6. Step 6: Final answer
    x = 1,912,605.35

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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.