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Finding the Third Proportional to 841,224 and 1,822,344

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Solution

The third proportional to 841,224 and 1,822,344 is: 3,947,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,224 : 1,822,344 = 1,822,344 : x
  2. Step 2: Convert to fraction form
    841,224/1,822,344 = 1,822,344/x
  3. Step 3: Cross multiply
    841,224x = 1,822,344 × 1,822,344
  4. Step 4: Simplify right side
    841,224x = 3,320,937,654,336
  5. Step 5: Solve for x
    x = 3,320,937,654,336/841,224
  6. Step 6: Final answer
    x = 3,947,744.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.