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Finding the Third Proportional to 1,289,296 and 2,807,984

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Solution

The third proportional to 1,289,296 and 2,807,984 is: 6,115,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,296 : 2,807,984 = 2,807,984 : x
  2. Step 2: Convert to fraction form
    1,289,296/2,807,984 = 2,807,984/x
  3. Step 3: Cross multiply
    1,289,296x = 2,807,984 × 2,807,984
  4. Step 4: Simplify right side
    1,289,296x = 7,884,774,144,256
  5. Step 5: Solve for x
    x = 7,884,774,144,256/1,289,296
  6. Step 6: Final answer
    x = 6,115,565.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.