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Finding the Third Proportional to 929,728 and 1,436,640

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Solution

The third proportional to 929,728 and 1,436,640 is: 2,219,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,728 : 1,436,640 = 1,436,640 : x
  2. Step 2: Convert to fraction form
    929,728/1,436,640 = 1,436,640/x
  3. Step 3: Cross multiply
    929,728x = 1,436,640 × 1,436,640
  4. Step 4: Simplify right side
    929,728x = 2,063,934,489,600
  5. Step 5: Solve for x
    x = 2,063,934,489,600/929,728
  6. Step 6: Final answer
    x = 2,219,933.67

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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.