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Finding the Third Proportional to 667,826 and 1,484,944

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Solution

The third proportional to 667,826 and 1,484,944 is: 3,301,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,826 : 1,484,944 = 1,484,944 : x
  2. Step 2: Convert to fraction form
    667,826/1,484,944 = 1,484,944/x
  3. Step 3: Cross multiply
    667,826x = 1,484,944 × 1,484,944
  4. Step 4: Simplify right side
    667,826x = 2,205,058,683,136
  5. Step 5: Solve for x
    x = 2,205,058,683,136/667,826
  6. Step 6: Final answer
    x = 3,301,846.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.