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Finding the Third Proportional to 619,216 and 1,264,664

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Solution

The third proportional to 619,216 and 1,264,664 is: 2,582,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,216 : 1,264,664 = 1,264,664 : x
  2. Step 2: Convert to fraction form
    619,216/1,264,664 = 1,264,664/x
  3. Step 3: Cross multiply
    619,216x = 1,264,664 × 1,264,664
  4. Step 4: Simplify right side
    619,216x = 1,599,375,032,896
  5. Step 5: Solve for x
    x = 1,599,375,032,896/619,216
  6. Step 6: Final answer
    x = 2,582,903.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.