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Finding the Third Proportional to 696,690 and 1,042,443

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Solution

The third proportional to 696,690 and 1,042,443 is: 1,559,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,690 : 1,042,443 = 1,042,443 : x
  2. Step 2: Convert to fraction form
    696,690/1,042,443 = 1,042,443/x
  3. Step 3: Cross multiply
    696,690x = 1,042,443 × 1,042,443
  4. Step 4: Simplify right side
    696,690x = 1,086,687,408,249
  5. Step 5: Solve for x
    x = 1,086,687,408,249/696,690
  6. Step 6: Final answer
    x = 1,559,786.14

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