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Finding the Third Proportional to 510,264 and 1,110,438

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Solution

The third proportional to 510,264 and 1,110,438 is: 2,416,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,264 : 1,110,438 = 1,110,438 : x
  2. Step 2: Convert to fraction form
    510,264/1,110,438 = 1,110,438/x
  3. Step 3: Cross multiply
    510,264x = 1,110,438 × 1,110,438
  4. Step 4: Simplify right side
    510,264x = 1,233,072,551,844
  5. Step 5: Solve for x
    x = 1,233,072,551,844/510,264
  6. Step 6: Final answer
    x = 2,416,538.40

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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.