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Finding the Third Proportional to 386,385.19 and 837,123.19

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Solution

The third proportional to 386,385.19 and 837,123.19 is: 1,813,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,385.19 : 837,123.19 = 837,123.19 : x
  2. Step 2: Convert to fraction form
    386,385.19/837,123.19 = 837,123.19/x
  3. Step 3: Cross multiply
    386,385.19x = 837,123.19 × 837,123.19
  4. Step 4: Simplify right side
    386,385.19x = 700,775,231,050.16
  5. Step 5: Solve for x
    x = 700,775,231,050.16/386,385.19
  6. Step 6: Final answer
    x = 1,813,670.02

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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.