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Finding the Third Proportional to 597,666.09 and 1,283,905.69

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Solution

The third proportional to 597,666.09 and 1,283,905.69 is: 2,758,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,666.09 : 1,283,905.69 = 1,283,905.69 : x
  2. Step 2: Convert to fraction form
    597,666.09/1,283,905.69 = 1,283,905.69/x
  3. Step 3: Cross multiply
    597,666.09x = 1,283,905.69 × 1,283,905.69
  4. Step 4: Simplify right side
    597,666.09x = 1,648,413,814,394.85
  5. Step 5: Solve for x
    x = 1,648,413,814,394.85/597,666.09
  6. Step 6: Final answer
    x = 2,758,084.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.