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Finding the Third Proportional to 518,807 and 1,128,514

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Solution

The third proportional to 518,807 and 1,128,514 is: 2,454,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,807 : 1,128,514 = 1,128,514 : x
  2. Step 2: Convert to fraction form
    518,807/1,128,514 = 1,128,514/x
  3. Step 3: Cross multiply
    518,807x = 1,128,514 × 1,128,514
  4. Step 4: Simplify right side
    518,807x = 1,273,543,848,196
  5. Step 5: Solve for x
    x = 1,273,543,848,196/518,807
  6. Step 6: Final answer
    x = 2,454,754.56

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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.