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Finding the Third Proportional to 2,258,264 and 4,843,984

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Solution

The third proportional to 2,258,264 and 4,843,984 is: 10,390,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,264 : 4,843,984 = 4,843,984 : x
  2. Step 2: Convert to fraction form
    2,258,264/4,843,984 = 4,843,984/x
  3. Step 3: Cross multiply
    2,258,264x = 4,843,984 × 4,843,984
  4. Step 4: Simplify right side
    2,258,264x = 23,464,180,992,256
  5. Step 5: Solve for x
    x = 23,464,180,992,256/2,258,264
  6. Step 6: Final answer
    x = 10,390,362.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.