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Finding the Third Proportional to 1,278,574.88 and 1,985,097.38

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Solution

The third proportional to 1,278,574.88 and 1,985,097.38 is: 3,082,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,574.88 : 1,985,097.38 = 1,985,097.38 : x
  2. Step 2: Convert to fraction form
    1,278,574.88/1,985,097.38 = 1,985,097.38/x
  3. Step 3: Cross multiply
    1,278,574.88x = 1,985,097.38 × 1,985,097.38
  4. Step 4: Simplify right side
    1,278,574.88x = 3,940,611,588,231.89
  5. Step 5: Solve for x
    x = 3,940,611,588,231.89/1,278,574.88
  6. Step 6: Final answer
    x = 3,082,034.28

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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.