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Finding the Third Proportional to 706,013.72 and 1,546,801.31

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Solution

The third proportional to 706,013.72 and 1,546,801.31 is: 3,388,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,013.72 : 1,546,801.31 = 1,546,801.31 : x
  2. Step 2: Convert to fraction form
    706,013.72/1,546,801.31 = 1,546,801.31/x
  3. Step 3: Cross multiply
    706,013.72x = 1,546,801.31 × 1,546,801.31
  4. Step 4: Simplify right side
    706,013.72x = 2,392,594,300,351.72
  5. Step 5: Solve for x
    x = 2,392,594,300,351.72/706,013.72
  6. Step 6: Final answer
    x = 3,388,877.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.