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Finding the Third Proportional to 386,384.06 and 837,122.06

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Solution

The third proportional to 386,384.06 and 837,122.06 is: 1,813,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,384.06 : 837,122.06 = 837,122.06 : x
  2. Step 2: Convert to fraction form
    386,384.06/837,122.06 = 837,122.06/x
  3. Step 3: Cross multiply
    386,384.06x = 837,122.06 × 837,122.06
  4. Step 4: Simplify right side
    386,384.06x = 700,773,347,524.25
  5. Step 5: Solve for x
    x = 700,773,347,524.25/386,384.06
  6. Step 6: Final answer
    x = 1,813,670.43

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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.