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Finding the Third Proportional to 2,584,258 and 3,851,133

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Solution

The third proportional to 2,584,258 and 3,851,133 is: 5,739,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,258 : 3,851,133 = 3,851,133 : x
  2. Step 2: Convert to fraction form
    2,584,258/3,851,133 = 3,851,133/x
  3. Step 3: Cross multiply
    2,584,258x = 3,851,133 × 3,851,133
  4. Step 4: Simplify right side
    2,584,258x = 14,831,225,383,689
  5. Step 5: Solve for x
    x = 14,831,225,383,689/2,584,258
  6. Step 6: Final answer
    x = 5,739,065.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.