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Finding the Third Proportional to 838,114 and 1,810,190

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Solution

The third proportional to 838,114 and 1,810,190 is: 3,909,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,114 : 1,810,190 = 1,810,190 : x
  2. Step 2: Convert to fraction form
    838,114/1,810,190 = 1,810,190/x
  3. Step 3: Cross multiply
    838,114x = 1,810,190 × 1,810,190
  4. Step 4: Simplify right side
    838,114x = 3,276,787,836,100
  5. Step 5: Solve for x
    x = 3,276,787,836,100/838,114
  6. Step 6: Final answer
    x = 3,909,716.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.