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Finding the Third Proportional to 454,302 and 988,146

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Solution

The third proportional to 454,302 and 988,146 is: 2,149,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,302 : 988,146 = 988,146 : x
  2. Step 2: Convert to fraction form
    454,302/988,146 = 988,146/x
  3. Step 3: Cross multiply
    454,302x = 988,146 × 988,146
  4. Step 4: Simplify right side
    454,302x = 976,432,517,316
  5. Step 5: Solve for x
    x = 976,432,517,316/454,302
  6. Step 6: Final answer
    x = 2,149,302.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.