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Finding the Third Proportional to 510,680 and 1,110,865

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Solution

The third proportional to 510,680 and 1,110,865 is: 2,416,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,680 : 1,110,865 = 1,110,865 : x
  2. Step 2: Convert to fraction form
    510,680/1,110,865 = 1,110,865/x
  3. Step 3: Cross multiply
    510,680x = 1,110,865 × 1,110,865
  4. Step 4: Simplify right side
    510,680x = 1,234,021,048,225
  5. Step 5: Solve for x
    x = 1,234,021,048,225/510,680
  6. Step 6: Final answer
    x = 2,416,427.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.