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Finding the Third Proportional to 689,212.55 and 1,029,666.94

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Solution

The third proportional to 689,212.55 and 1,029,666.94 is: 1,538,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,212.55 : 1,029,666.94 = 1,029,666.94 : x
  2. Step 2: Convert to fraction form
    689,212.55/1,029,666.94 = 1,029,666.94/x
  3. Step 3: Cross multiply
    689,212.55x = 1,029,666.94 × 1,029,666.94
  4. Step 4: Simplify right side
    689,212.55x = 1,060,214,002,180.63
  5. Step 5: Solve for x
    x = 1,060,214,002,180.63/689,212.55
  6. Step 6: Final answer
    x = 1,538,297.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.