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Finding the Third Proportional to 784,583.50 and 1,701,170

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Solution

The third proportional to 784,583.50 and 1,701,170 is: 3,688,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,583.50 : 1,701,170 = 1,701,170 : x
  2. Step 2: Convert to fraction form
    784,583.50/1,701,170 = 1,701,170/x
  3. Step 3: Cross multiply
    784,583.50x = 1,701,170 × 1,701,170
  4. Step 4: Simplify right side
    784,583.50x = 2,893,979,368,900
  5. Step 5: Solve for x
    x = 2,893,979,368,900/784,583.50
  6. Step 6: Final answer
    x = 3,688,554.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.