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Finding the Third Proportional to 694,116 and 1,049,916

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Solution

The third proportional to 694,116 and 1,049,916 is: 1,588,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,116 : 1,049,916 = 1,049,916 : x
  2. Step 2: Convert to fraction form
    694,116/1,049,916 = 1,049,916/x
  3. Step 3: Cross multiply
    694,116x = 1,049,916 × 1,049,916
  4. Step 4: Simplify right side
    694,116x = 1,102,323,607,056
  5. Step 5: Solve for x
    x = 1,102,323,607,056/694,116
  6. Step 6: Final answer
    x = 1,588,097.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.