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Finding the Third Proportional to 417,018 and 893,084

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Solution

The third proportional to 417,018 and 893,084 is: 1,912,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,018 : 893,084 = 893,084 : x
  2. Step 2: Convert to fraction form
    417,018/893,084 = 893,084/x
  3. Step 3: Cross multiply
    417,018x = 893,084 × 893,084
  4. Step 4: Simplify right side
    417,018x = 797,599,031,056
  5. Step 5: Solve for x
    x = 797,599,031,056/417,018
  6. Step 6: Final answer
    x = 1,912,624.95

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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.