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Finding the Third Proportional to 602,082 and 900,171

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Solution

The third proportional to 602,082 and 900,171 is: 1,345,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,082 : 900,171 = 900,171 : x
  2. Step 2: Convert to fraction form
    602,082/900,171 = 900,171/x
  3. Step 3: Cross multiply
    602,082x = 900,171 × 900,171
  4. Step 4: Simplify right side
    602,082x = 810,307,829,241
  5. Step 5: Solve for x
    x = 810,307,829,241/602,082
  6. Step 6: Final answer
    x = 1,345,842.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.