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Finding the Third Proportional to 596,592.84 and 1,296,923.91

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Solution

The third proportional to 596,592.84 and 1,296,923.91 is: 2,819,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,592.84 : 1,296,923.91 = 1,296,923.91 : x
  2. Step 2: Convert to fraction form
    596,592.84/1,296,923.91 = 1,296,923.91/x
  3. Step 3: Cross multiply
    596,592.84x = 1,296,923.91 × 1,296,923.91
  4. Step 4: Simplify right side
    596,592.84x = 1,682,011,618,602.76
  5. Step 5: Solve for x
    x = 1,682,011,618,602.76/596,592.84
  6. Step 6: Final answer
    x = 2,819,362.71

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