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Finding the Third Proportional to 5,714,724 and 7,782,390

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Solution

The third proportional to 5,714,724 and 7,782,390 is: 10,598,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,724 : 7,782,390 = 7,782,390 : x
  2. Step 2: Convert to fraction form
    5,714,724/7,782,390 = 7,782,390/x
  3. Step 3: Cross multiply
    5,714,724x = 7,782,390 × 7,782,390
  4. Step 4: Simplify right side
    5,714,724x = 60,565,594,112,100
  5. Step 5: Solve for x
    x = 60,565,594,112,100/5,714,724
  6. Step 6: Final answer
    x = 10,598,166.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.