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Finding the Third Proportional to 528,256 and 1,138,648

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Solution

The third proportional to 528,256 and 1,138,648 is: 2,454,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,256 : 1,138,648 = 1,138,648 : x
  2. Step 2: Convert to fraction form
    528,256/1,138,648 = 1,138,648/x
  3. Step 3: Cross multiply
    528,256x = 1,138,648 × 1,138,648
  4. Step 4: Simplify right side
    528,256x = 1,296,519,267,904
  5. Step 5: Solve for x
    x = 1,296,519,267,904/528,256
  6. Step 6: Final answer
    x = 2,454,338.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.