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Finding the Third Proportional to 604,128 and 846,846

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Solution

The third proportional to 604,128 and 846,846 is: 1,187,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,128 : 846,846 = 846,846 : x
  2. Step 2: Convert to fraction form
    604,128/846,846 = 846,846/x
  3. Step 3: Cross multiply
    604,128x = 846,846 × 846,846
  4. Step 4: Simplify right side
    604,128x = 717,148,147,716
  5. Step 5: Solve for x
    x = 717,148,147,716/604,128
  6. Step 6: Final answer
    x = 1,187,079.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.