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Finding the Third Proportional to 675,972 and 1,484,136

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Solution

The third proportional to 675,972 and 1,484,136 is: 3,258,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,972 : 1,484,136 = 1,484,136 : x
  2. Step 2: Convert to fraction form
    675,972/1,484,136 = 1,484,136/x
  3. Step 3: Cross multiply
    675,972x = 1,484,136 × 1,484,136
  4. Step 4: Simplify right side
    675,972x = 2,202,659,666,496
  5. Step 5: Solve for x
    x = 2,202,659,666,496/675,972
  6. Step 6: Final answer
    x = 3,258,507.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.