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Finding the Third Proportional to 575,876 and 1,256,566

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Solution

The third proportional to 575,876 and 1,256,566 is: 2,741,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,876 : 1,256,566 = 1,256,566 : x
  2. Step 2: Convert to fraction form
    575,876/1,256,566 = 1,256,566/x
  3. Step 3: Cross multiply
    575,876x = 1,256,566 × 1,256,566
  4. Step 4: Simplify right side
    575,876x = 1,578,958,112,356
  5. Step 5: Solve for x
    x = 1,578,958,112,356/575,876
  6. Step 6: Final answer
    x = 2,741,836.98

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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.