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Finding the Third Proportional to 576,898 and 1,262,551

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Solution

The third proportional to 576,898 and 1,262,551 is: 2,763,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,898 : 1,262,551 = 1,262,551 : x
  2. Step 2: Convert to fraction form
    576,898/1,262,551 = 1,262,551/x
  3. Step 3: Cross multiply
    576,898x = 1,262,551 × 1,262,551
  4. Step 4: Simplify right side
    576,898x = 1,594,035,027,601
  5. Step 5: Solve for x
    x = 1,594,035,027,601/576,898
  6. Step 6: Final answer
    x = 2,763,114.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.