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Finding the Third Proportional to 510,376 and 1,072,998

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Solution

The third proportional to 510,376 and 1,072,998 is: 2,255,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,376 : 1,072,998 = 1,072,998 : x
  2. Step 2: Convert to fraction form
    510,376/1,072,998 = 1,072,998/x
  3. Step 3: Cross multiply
    510,376x = 1,072,998 × 1,072,998
  4. Step 4: Simplify right side
    510,376x = 1,151,324,708,004
  5. Step 5: Solve for x
    x = 1,151,324,708,004/510,376
  6. Step 6: Final answer
    x = 2,255,836.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.