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Finding the Third Proportional to 518,461 and 1,078,308

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Solution

The third proportional to 518,461 and 1,078,308 is: 2,242,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,461 : 1,078,308 = 1,078,308 : x
  2. Step 2: Convert to fraction form
    518,461/1,078,308 = 1,078,308/x
  3. Step 3: Cross multiply
    518,461x = 1,078,308 × 1,078,308
  4. Step 4: Simplify right side
    518,461x = 1,162,748,142,864
  5. Step 5: Solve for x
    x = 1,162,748,142,864/518,461
  6. Step 6: Final answer
    x = 2,242,691.63

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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.