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Finding the Third Proportional to 784,534.50 and 1,676,172

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Solution

The third proportional to 784,534.50 and 1,676,172 is: 3,581,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,534.50 : 1,676,172 = 1,676,172 : x
  2. Step 2: Convert to fraction form
    784,534.50/1,676,172 = 1,676,172/x
  3. Step 3: Cross multiply
    784,534.50x = 1,676,172 × 1,676,172
  4. Step 4: Simplify right side
    784,534.50x = 2,809,552,573,584
  5. Step 5: Solve for x
    x = 2,809,552,573,584/784,534.50
  6. Step 6: Final answer
    x = 3,581,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.