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Finding the Third Proportional to 836,374.50 and 1,330,836.38

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Solution

The third proportional to 836,374.50 and 1,330,836.38 is: 2,117,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,374.50 : 1,330,836.38 = 1,330,836.38 : x
  2. Step 2: Convert to fraction form
    836,374.50/1,330,836.38 = 1,330,836.38/x
  3. Step 3: Cross multiply
    836,374.50x = 1,330,836.38 × 1,330,836.38
  4. Step 4: Simplify right side
    836,374.50x = 1,771,125,457,023.14
  5. Step 5: Solve for x
    x = 1,771,125,457,023.14/836,374.50
  6. Step 6: Final answer
    x = 2,117,622.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.