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Finding the Third Proportional to 574,726 and 1,256,460

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Solution

The third proportional to 574,726 and 1,256,460 is: 2,746,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,726 : 1,256,460 = 1,256,460 : x
  2. Step 2: Convert to fraction form
    574,726/1,256,460 = 1,256,460/x
  3. Step 3: Cross multiply
    574,726x = 1,256,460 × 1,256,460
  4. Step 4: Simplify right side
    574,726x = 1,578,691,731,600
  5. Step 5: Solve for x
    x = 1,578,691,731,600/574,726
  6. Step 6: Final answer
    x = 2,746,859.78

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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.