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Finding the Third Proportional to 5,705,172 and 7,770,438

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Solution

The third proportional to 5,705,172 and 7,770,438 is: 10,583,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705,172 : 7,770,438 = 7,770,438 : x
  2. Step 2: Convert to fraction form
    5,705,172/7,770,438 = 7,770,438/x
  3. Step 3: Cross multiply
    5,705,172x = 7,770,438 × 7,770,438
  4. Step 4: Simplify right side
    5,705,172x = 60,379,706,711,844
  5. Step 5: Solve for x
    x = 60,379,706,711,844/5,705,172
  6. Step 6: Final answer
    x = 10,583,328.02

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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.