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Finding the Third Proportional to 865,450 and 1,896,972

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Solution

The third proportional to 865,450 and 1,896,972 is: 4,157,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,450 : 1,896,972 = 1,896,972 : x
  2. Step 2: Convert to fraction form
    865,450/1,896,972 = 1,896,972/x
  3. Step 3: Cross multiply
    865,450x = 1,896,972 × 1,896,972
  4. Step 4: Simplify right side
    865,450x = 3,598,502,768,784
  5. Step 5: Solve for x
    x = 3,598,502,768,784/865,450
  6. Step 6: Final answer
    x = 4,157,955.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.