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Finding the Third Proportional to 417,469 and 893,965

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Solution

The third proportional to 417,469 and 893,965 is: 1,914,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,469 : 893,965 = 893,965 : x
  2. Step 2: Convert to fraction form
    417,469/893,965 = 893,965/x
  3. Step 3: Cross multiply
    417,469x = 893,965 × 893,965
  4. Step 4: Simplify right side
    417,469x = 799,173,421,225
  5. Step 5: Solve for x
    x = 799,173,421,225/417,469
  6. Step 6: Final answer
    x = 1,914,329.98

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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.