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Finding the Third Proportional to 784,914.75 and 1,695,298.50

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Solution

The third proportional to 784,914.75 and 1,695,298.50 is: 3,661,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,914.75 : 1,695,298.50 = 1,695,298.50 : x
  2. Step 2: Convert to fraction form
    784,914.75/1,695,298.50 = 1,695,298.50/x
  3. Step 3: Cross multiply
    784,914.75x = 1,695,298.50 × 1,695,298.50
  4. Step 4: Simplify right side
    784,914.75x = 2,874,037,004,102.25
  5. Step 5: Solve for x
    x = 2,874,037,004,102.25/784,914.75
  6. Step 6: Final answer
    x = 3,661,591.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.