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Finding the Third Proportional to 653,052 and 998,910

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Solution

The third proportional to 653,052 and 998,910 is: 1,527,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,052 : 998,910 = 998,910 : x
  2. Step 2: Convert to fraction form
    653,052/998,910 = 998,910/x
  3. Step 3: Cross multiply
    653,052x = 998,910 × 998,910
  4. Step 4: Simplify right side
    653,052x = 997,821,188,100
  5. Step 5: Solve for x
    x = 997,821,188,100/653,052
  6. Step 6: Final answer
    x = 1,527,935.28

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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.