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Finding the Third Proportional to 602,195 and 886,658

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Solution

The third proportional to 602,195 and 886,658 is: 1,305,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,195 : 886,658 = 886,658 : x
  2. Step 2: Convert to fraction form
    602,195/886,658 = 886,658/x
  3. Step 3: Cross multiply
    602,195x = 886,658 × 886,658
  4. Step 4: Simplify right side
    602,195x = 786,162,408,964
  5. Step 5: Solve for x
    x = 786,162,408,964/602,195
  6. Step 6: Final answer
    x = 1,305,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.