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Finding the Third Proportional to 602,021 and 933,173

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Solution

The third proportional to 602,021 and 933,173 is: 1,446,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,021 : 933,173 = 933,173 : x
  2. Step 2: Convert to fraction form
    602,021/933,173 = 933,173/x
  3. Step 3: Cross multiply
    602,021x = 933,173 × 933,173
  4. Step 4: Simplify right side
    602,021x = 870,811,847,929
  5. Step 5: Solve for x
    x = 870,811,847,929/602,021
  6. Step 6: Final answer
    x = 1,446,480.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.