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Finding the Third Proportional to 1,376,256 and 2,023,904

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Solution

The third proportional to 1,376,256 and 2,023,904 is: 2,976,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,256 : 2,023,904 = 2,023,904 : x
  2. Step 2: Convert to fraction form
    1,376,256/2,023,904 = 2,023,904/x
  3. Step 3: Cross multiply
    1,376,256x = 2,023,904 × 2,023,904
  4. Step 4: Simplify right side
    1,376,256x = 4,096,187,401,216
  5. Step 5: Solve for x
    x = 4,096,187,401,216/1,376,256
  6. Step 6: Final answer
    x = 2,976,326.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.