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Finding the Third Proportional to 693,975 and 1,035,186

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Solution

The third proportional to 693,975 and 1,035,186 is: 1,544,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,975 : 1,035,186 = 1,035,186 : x
  2. Step 2: Convert to fraction form
    693,975/1,035,186 = 1,035,186/x
  3. Step 3: Cross multiply
    693,975x = 1,035,186 × 1,035,186
  4. Step 4: Simplify right side
    693,975x = 1,071,610,054,596
  5. Step 5: Solve for x
    x = 1,071,610,054,596/693,975
  6. Step 6: Final answer
    x = 1,544,162.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.