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Finding the Third Proportional to 671,832 and 988,146

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Solution

The third proportional to 671,832 and 988,146 is: 1,453,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,832 : 988,146 = 988,146 : x
  2. Step 2: Convert to fraction form
    671,832/988,146 = 988,146/x
  3. Step 3: Cross multiply
    671,832x = 988,146 × 988,146
  4. Step 4: Simplify right side
    671,832x = 976,432,517,316
  5. Step 5: Solve for x
    x = 976,432,517,316/671,832
  6. Step 6: Final answer
    x = 1,453,387.93

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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.