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Finding the Third Proportional to 1,282,145.38 and 2,030,244.38

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Solution

The third proportional to 1,282,145.38 and 2,030,244.38 is: 3,214,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,145.38 : 2,030,244.38 = 2,030,244.38 : x
  2. Step 2: Convert to fraction form
    1,282,145.38/2,030,244.38 = 2,030,244.38/x
  3. Step 3: Cross multiply
    1,282,145.38x = 2,030,244.38 × 2,030,244.38
  4. Step 4: Simplify right side
    1,282,145.38x = 4,121,892,222,219.14
  5. Step 5: Solve for x
    x = 4,121,892,222,219.14/1,282,145.38
  6. Step 6: Final answer
    x = 3,214,839.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.