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Finding the Third Proportional to 731,256 and 1,630,556

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Solution

The third proportional to 731,256 and 1,630,556 is: 3,635,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,256 : 1,630,556 = 1,630,556 : x
  2. Step 2: Convert to fraction form
    731,256/1,630,556 = 1,630,556/x
  3. Step 3: Cross multiply
    731,256x = 1,630,556 × 1,630,556
  4. Step 4: Simplify right side
    731,256x = 2,658,712,869,136
  5. Step 5: Solve for x
    x = 2,658,712,869,136/731,256
  6. Step 6: Final answer
    x = 3,635,816.83

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.