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Finding the Third Proportional to 786,384 and 1,705,932

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Solution

The third proportional to 786,384 and 1,705,932 is: 3,700,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,384 : 1,705,932 = 1,705,932 : x
  2. Step 2: Convert to fraction form
    786,384/1,705,932 = 1,705,932/x
  3. Step 3: Cross multiply
    786,384x = 1,705,932 × 1,705,932
  4. Step 4: Simplify right side
    786,384x = 2,910,203,988,624
  5. Step 5: Solve for x
    x = 2,910,203,988,624/786,384
  6. Step 6: Final answer
    x = 3,700,741.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.