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Finding the Third Proportional to 696,646 and 1,042,269

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Solution

The third proportional to 696,646 and 1,042,269 is: 1,559,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,646 : 1,042,269 = 1,042,269 : x
  2. Step 2: Convert to fraction form
    696,646/1,042,269 = 1,042,269/x
  3. Step 3: Cross multiply
    696,646x = 1,042,269 × 1,042,269
  4. Step 4: Simplify right side
    696,646x = 1,086,324,668,361
  5. Step 5: Solve for x
    x = 1,086,324,668,361/696,646
  6. Step 6: Final answer
    x = 1,559,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.