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Finding the Third Proportional to 800,323 and 1,220,810

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Solution

The third proportional to 800,323 and 1,220,810 is: 1,862,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,323 : 1,220,810 = 1,220,810 : x
  2. Step 2: Convert to fraction form
    800,323/1,220,810 = 1,220,810/x
  3. Step 3: Cross multiply
    800,323x = 1,220,810 × 1,220,810
  4. Step 4: Simplify right side
    800,323x = 1,490,377,056,100
  5. Step 5: Solve for x
    x = 1,490,377,056,100/800,323
  6. Step 6: Final answer
    x = 1,862,219.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.