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Finding the Third Proportional to 705,357 and 1,089,801

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Solution

The third proportional to 705,357 and 1,089,801 is: 1,683,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,357 : 1,089,801 = 1,089,801 : x
  2. Step 2: Convert to fraction form
    705,357/1,089,801 = 1,089,801/x
  3. Step 3: Cross multiply
    705,357x = 1,089,801 × 1,089,801
  4. Step 4: Simplify right side
    705,357x = 1,187,666,219,601
  5. Step 5: Solve for x
    x = 1,187,666,219,601/705,357
  6. Step 6: Final answer
    x = 1,683,780.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.