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Finding the Third Proportional to 510,147 and 1,117,260

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Solution

The third proportional to 510,147 and 1,117,260 is: 2,446,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,147 : 1,117,260 = 1,117,260 : x
  2. Step 2: Convert to fraction form
    510,147/1,117,260 = 1,117,260/x
  3. Step 3: Cross multiply
    510,147x = 1,117,260 × 1,117,260
  4. Step 4: Simplify right side
    510,147x = 1,248,269,907,600
  5. Step 5: Solve for x
    x = 1,248,269,907,600/510,147
  6. Step 6: Final answer
    x = 2,446,882.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.