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Finding the Third Proportional to 628,198 and 1,000,569

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Solution

The third proportional to 628,198 and 1,000,569 is: 1,593,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,198 : 1,000,569 = 1,000,569 : x
  2. Step 2: Convert to fraction form
    628,198/1,000,569 = 1,000,569/x
  3. Step 3: Cross multiply
    628,198x = 1,000,569 × 1,000,569
  4. Step 4: Simplify right side
    628,198x = 1,001,138,323,761
  5. Step 5: Solve for x
    x = 1,001,138,323,761/628,198
  6. Step 6: Final answer
    x = 1,593,666.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.