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Finding the Third Proportional to 693,297 and 1,065,176

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Solution

The third proportional to 693,297 and 1,065,176 is: 1,636,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,297 : 1,065,176 = 1,065,176 : x
  2. Step 2: Convert to fraction form
    693,297/1,065,176 = 1,065,176/x
  3. Step 3: Cross multiply
    693,297x = 1,065,176 × 1,065,176
  4. Step 4: Simplify right side
    693,297x = 1,134,599,910,976
  5. Step 5: Solve for x
    x = 1,134,599,910,976/693,297
  6. Step 6: Final answer
    x = 1,636,527.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.