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Finding the Third Proportional to 510,204 and 1,113,657

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Solution

The third proportional to 510,204 and 1,113,657 is: 2,430,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,204 : 1,113,657 = 1,113,657 : x
  2. Step 2: Convert to fraction form
    510,204/1,113,657 = 1,113,657/x
  3. Step 3: Cross multiply
    510,204x = 1,113,657 × 1,113,657
  4. Step 4: Simplify right side
    510,204x = 1,240,231,913,649
  5. Step 5: Solve for x
    x = 1,240,231,913,649/510,204
  6. Step 6: Final answer
    x = 2,430,854.94

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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.