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Finding the Third Proportional to 517,860,219 and 1,109,177,394

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Solution

The third proportional to 517,860,219 and 1,109,177,394 is: 2,375,688,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,860,219 : 1,109,177,394 = 1,109,177,394 : x
  2. Step 2: Convert to fraction form
    517,860,219/1,109,177,394 = 1,109,177,394/x
  3. Step 3: Cross multiply
    517,860,219x = 1,109,177,394 × 1,109,177,394
  4. Step 4: Simplify right side
    517,860,219x = 1,230,274,491,360,631,296
  5. Step 5: Solve for x
    x = 1,230,274,491,360,631,296/517,860,219
  6. Step 6: Final answer
    x = 2,375,688,354.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.