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Finding the Third Proportional to 693,295 and 1,065,173

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Solution

The third proportional to 693,295 and 1,065,173 is: 1,636,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,295 : 1,065,173 = 1,065,173 : x
  2. Step 2: Convert to fraction form
    693,295/1,065,173 = 1,065,173/x
  3. Step 3: Cross multiply
    693,295x = 1,065,173 × 1,065,173
  4. Step 4: Simplify right side
    693,295x = 1,134,593,519,929
  5. Step 5: Solve for x
    x = 1,134,593,519,929/693,295
  6. Step 6: Final answer
    x = 1,636,523.44

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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.