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Finding the Third Proportional to 776,093 and 1,159,374

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Solution

The third proportional to 776,093 and 1,159,374 is: 1,731,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,093 : 1,159,374 = 1,159,374 : x
  2. Step 2: Convert to fraction form
    776,093/1,159,374 = 1,159,374/x
  3. Step 3: Cross multiply
    776,093x = 1,159,374 × 1,159,374
  4. Step 4: Simplify right side
    776,093x = 1,344,148,071,876
  5. Step 5: Solve for x
    x = 1,344,148,071,876/776,093
  6. Step 6: Final answer
    x = 1,731,942.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.