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Finding the Third Proportional to 585,177 and 1,264,578

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Solution

The third proportional to 585,177 and 1,264,578 is: 2,732,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,177 : 1,264,578 = 1,264,578 : x
  2. Step 2: Convert to fraction form
    585,177/1,264,578 = 1,264,578/x
  3. Step 3: Cross multiply
    585,177x = 1,264,578 × 1,264,578
  4. Step 4: Simplify right side
    585,177x = 1,599,157,518,084
  5. Step 5: Solve for x
    x = 1,599,157,518,084/585,177
  6. Step 6: Final answer
    x = 2,732,775.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.