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Finding the Third Proportional to 698,814 and 1,054,017

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Solution

The third proportional to 698,814 and 1,054,017 is: 1,589,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,814 : 1,054,017 = 1,054,017 : x
  2. Step 2: Convert to fraction form
    698,814/1,054,017 = 1,054,017/x
  3. Step 3: Cross multiply
    698,814x = 1,054,017 × 1,054,017
  4. Step 4: Simplify right side
    698,814x = 1,110,951,836,289
  5. Step 5: Solve for x
    x = 1,110,951,836,289/698,814
  6. Step 6: Final answer
    x = 1,589,767.57

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Why These Related Problems?

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