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Finding the Third Proportional to 604,846 and 893,478

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Solution

The third proportional to 604,846 and 893,478 is: 1,319,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,846 : 893,478 = 893,478 : x
  2. Step 2: Convert to fraction form
    604,846/893,478 = 893,478/x
  3. Step 3: Cross multiply
    604,846x = 893,478 × 893,478
  4. Step 4: Simplify right side
    604,846x = 798,302,936,484
  5. Step 5: Solve for x
    x = 798,302,936,484/604,846
  6. Step 6: Final answer
    x = 1,319,844.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.