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Finding the Third Proportional to 518,456 and 1,078,297

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Solution

The third proportional to 518,456 and 1,078,297 is: 2,242,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,456 : 1,078,297 = 1,078,297 : x
  2. Step 2: Convert to fraction form
    518,456/1,078,297 = 1,078,297/x
  3. Step 3: Cross multiply
    518,456x = 1,078,297 × 1,078,297
  4. Step 4: Simplify right side
    518,456x = 1,162,724,420,209
  5. Step 5: Solve for x
    x = 1,162,724,420,209/518,456
  6. Step 6: Final answer
    x = 2,242,667.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.