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Finding the Third Proportional to 931,844.25 and 1,411,799.63

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Solution

The third proportional to 931,844.25 and 1,411,799.63 is: 2,138,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,844.25 : 1,411,799.63 = 1,411,799.63 : x
  2. Step 2: Convert to fraction form
    931,844.25/1,411,799.63 = 1,411,799.63/x
  3. Step 3: Cross multiply
    931,844.25x = 1,411,799.63 × 1,411,799.63
  4. Step 4: Simplify right side
    931,844.25x = 1,993,178,181,150.14
  5. Step 5: Solve for x
    x = 1,993,178,181,150.14/931,844.25
  6. Step 6: Final answer
    x = 2,138,960.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.