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Finding the Third Proportional to 716,958 and 1,100,503

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Solution

The third proportional to 716,958 and 1,100,503 is: 1,689,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,958 : 1,100,503 = 1,100,503 : x
  2. Step 2: Convert to fraction form
    716,958/1,100,503 = 1,100,503/x
  3. Step 3: Cross multiply
    716,958x = 1,100,503 × 1,100,503
  4. Step 4: Simplify right side
    716,958x = 1,211,106,853,009
  5. Step 5: Solve for x
    x = 1,211,106,853,009/716,958
  6. Step 6: Final answer
    x = 1,689,229.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.