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Finding the Third Proportional to 836,066.18 and 1,831,595.41

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Solution

The third proportional to 836,066.18 and 1,831,595.41 is: 4,012,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,066.18 : 1,831,595.41 = 1,831,595.41 : x
  2. Step 2: Convert to fraction form
    836,066.18/1,831,595.41 = 1,831,595.41/x
  3. Step 3: Cross multiply
    836,066.18x = 1,831,595.41 × 1,831,595.41
  4. Step 4: Simplify right side
    836,066.18x = 3,354,741,760,814.78
  5. Step 5: Solve for x
    x = 3,354,741,760,814.78/836,066.18
  6. Step 6: Final answer
    x = 4,012,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.