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Finding the Third Proportional to 3,057,538 and 6,593,840

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Solution

The third proportional to 3,057,538 and 6,593,840 is: 14,220,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057,538 : 6,593,840 = 6,593,840 : x
  2. Step 2: Convert to fraction form
    3,057,538/6,593,840 = 6,593,840/x
  3. Step 3: Cross multiply
    3,057,538x = 6,593,840 × 6,593,840
  4. Step 4: Simplify right side
    3,057,538x = 43,478,725,945,600
  5. Step 5: Solve for x
    x = 43,478,725,945,600/3,057,538
  6. Step 6: Final answer
    x = 14,220,175.17

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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.