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Finding the Third Proportional to 677,296 and 1,447,904

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Solution

The third proportional to 677,296 and 1,447,904 is: 3,095,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,296 : 1,447,904 = 1,447,904 : x
  2. Step 2: Convert to fraction form
    677,296/1,447,904 = 1,447,904/x
  3. Step 3: Cross multiply
    677,296x = 1,447,904 × 1,447,904
  4. Step 4: Simplify right side
    677,296x = 2,096,425,993,216
  5. Step 5: Solve for x
    x = 2,096,425,993,216/677,296
  6. Step 6: Final answer
    x = 3,095,287.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.