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Finding the Third Proportional to 518,929 and 1,128,736

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Solution

The third proportional to 518,929 and 1,128,736 is: 2,455,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,929 : 1,128,736 = 1,128,736 : x
  2. Step 2: Convert to fraction form
    518,929/1,128,736 = 1,128,736/x
  3. Step 3: Cross multiply
    518,929x = 1,128,736 × 1,128,736
  4. Step 4: Simplify right side
    518,929x = 1,274,044,957,696
  5. Step 5: Solve for x
    x = 1,274,044,957,696/518,929
  6. Step 6: Final answer
    x = 2,455,143.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.