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Finding the Third Proportional to 473,736 and 1,017,744

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Solution

The third proportional to 473,736 and 1,017,744 is: 2,186,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,736 : 1,017,744 = 1,017,744 : x
  2. Step 2: Convert to fraction form
    473,736/1,017,744 = 1,017,744/x
  3. Step 3: Cross multiply
    473,736x = 1,017,744 × 1,017,744
  4. Step 4: Simplify right side
    473,736x = 1,035,802,849,536
  5. Step 5: Solve for x
    x = 1,035,802,849,536/473,736
  6. Step 6: Final answer
    x = 2,186,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.