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Finding the Third Proportional to 2,014,473.38 and 3,123,830.81

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Solution

The third proportional to 2,014,473.38 and 3,123,830.81 is: 4,844,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,473.38 : 3,123,830.81 = 3,123,830.81 : x
  2. Step 2: Convert to fraction form
    2,014,473.38/3,123,830.81 = 3,123,830.81/x
  3. Step 3: Cross multiply
    2,014,473.38x = 3,123,830.81 × 3,123,830.81
  4. Step 4: Simplify right side
    2,014,473.38x = 9,758,318,945,124.41
  5. Step 5: Solve for x
    x = 9,758,318,945,124.41/2,014,473.38
  6. Step 6: Final answer
    x = 4,844,104.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.