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Finding the Third Proportional to 802,224 and 1,711,200

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Solution

The third proportional to 802,224 and 1,711,200 is: 3,650,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,224 : 1,711,200 = 1,711,200 : x
  2. Step 2: Convert to fraction form
    802,224/1,711,200 = 1,711,200/x
  3. Step 3: Cross multiply
    802,224x = 1,711,200 × 1,711,200
  4. Step 4: Simplify right side
    802,224x = 2,928,205,440,000
  5. Step 5: Solve for x
    x = 2,928,205,440,000/802,224
  6. Step 6: Final answer
    x = 3,650,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.