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Finding the Third Proportional to 637,948 and 1,027,876

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Solution

The third proportional to 637,948 and 1,027,876 is: 1,656,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,948 : 1,027,876 = 1,027,876 : x
  2. Step 2: Convert to fraction form
    637,948/1,027,876 = 1,027,876/x
  3. Step 3: Cross multiply
    637,948x = 1,027,876 × 1,027,876
  4. Step 4: Simplify right side
    637,948x = 1,056,529,071,376
  5. Step 5: Solve for x
    x = 1,056,529,071,376/637,948
  6. Step 6: Final answer
    x = 1,656,136.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.