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Finding the Third Proportional to 2,301,684 and 3,484,512

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Solution

The third proportional to 2,301,684 and 3,484,512 is: 5,275,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,684 : 3,484,512 = 3,484,512 : x
  2. Step 2: Convert to fraction form
    2,301,684/3,484,512 = 3,484,512/x
  3. Step 3: Cross multiply
    2,301,684x = 3,484,512 × 3,484,512
  4. Step 4: Simplify right side
    2,301,684x = 12,141,823,878,144
  5. Step 5: Solve for x
    x = 12,141,823,878,144/2,301,684
  6. Step 6: Final answer
    x = 5,275,191.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.