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Finding the Third Proportional to 518,553 and 1,109,037

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Solution

The third proportional to 518,553 and 1,109,037 is: 2,371,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,553 : 1,109,037 = 1,109,037 : x
  2. Step 2: Convert to fraction form
    518,553/1,109,037 = 1,109,037/x
  3. Step 3: Cross multiply
    518,553x = 1,109,037 × 1,109,037
  4. Step 4: Simplify right side
    518,553x = 1,229,963,067,369
  5. Step 5: Solve for x
    x = 1,229,963,067,369/518,553
  6. Step 6: Final answer
    x = 2,371,913.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.