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Finding the Third Proportional to 719,101.50 and 1,597,827

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Solution

The third proportional to 719,101.50 and 1,597,827 is: 3,550,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,101.50 : 1,597,827 = 1,597,827 : x
  2. Step 2: Convert to fraction form
    719,101.50/1,597,827 = 1,597,827/x
  3. Step 3: Cross multiply
    719,101.50x = 1,597,827 × 1,597,827
  4. Step 4: Simplify right side
    719,101.50x = 2,553,051,121,929
  5. Step 5: Solve for x
    x = 2,553,051,121,929/719,101.50
  6. Step 6: Final answer
    x = 3,550,334.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.