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Finding the Third Proportional to 629,155 and 1,000,738

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Solution

The third proportional to 629,155 and 1,000,738 is: 1,591,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,155 : 1,000,738 = 1,000,738 : x
  2. Step 2: Convert to fraction form
    629,155/1,000,738 = 1,000,738/x
  3. Step 3: Cross multiply
    629,155x = 1,000,738 × 1,000,738
  4. Step 4: Simplify right side
    629,155x = 1,001,476,544,644
  5. Step 5: Solve for x
    x = 1,001,476,544,644/629,155
  6. Step 6: Final answer
    x = 1,591,780.32

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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.