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Finding the Third Proportional to 2,831,592 and 6,113,972

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Solution

The third proportional to 2,831,592 and 6,113,972 is: 13,201,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,592 : 6,113,972 = 6,113,972 : x
  2. Step 2: Convert to fraction form
    2,831,592/6,113,972 = 6,113,972/x
  3. Step 3: Cross multiply
    2,831,592x = 6,113,972 × 6,113,972
  4. Step 4: Simplify right side
    2,831,592x = 37,380,653,616,784
  5. Step 5: Solve for x
    x = 37,380,653,616,784/2,831,592
  6. Step 6: Final answer
    x = 13,201,285.22

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Why These Related Problems?

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