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Finding the Third Proportional to 693,509.66 and 1,088,186.27

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Solution

The third proportional to 693,509.66 and 1,088,186.27 is: 1,707,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,509.66 : 1,088,186.27 = 1,088,186.27 : x
  2. Step 2: Convert to fraction form
    693,509.66/1,088,186.27 = 1,088,186.27/x
  3. Step 3: Cross multiply
    693,509.66x = 1,088,186.27 × 1,088,186.27
  4. Step 4: Simplify right side
    693,509.66x = 1,184,149,365,697.79
  5. Step 5: Solve for x
    x = 1,184,149,365,697.79/693,509.66
  6. Step 6: Final answer
    x = 1,707,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.