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Finding the Third Proportional to 834,132 and 1,821,168

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Solution

The third proportional to 834,132 and 1,821,168 is: 3,976,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,132 : 1,821,168 = 1,821,168 : x
  2. Step 2: Convert to fraction form
    834,132/1,821,168 = 1,821,168/x
  3. Step 3: Cross multiply
    834,132x = 1,821,168 × 1,821,168
  4. Step 4: Simplify right side
    834,132x = 3,316,652,884,224
  5. Step 5: Solve for x
    x = 3,316,652,884,224/834,132
  6. Step 6: Final answer
    x = 3,976,172.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.