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Finding the Third Proportional to 653,493 and 1,366,827

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Solution

The third proportional to 653,493 and 1,366,827 is: 2,858,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,493 : 1,366,827 = 1,366,827 : x
  2. Step 2: Convert to fraction form
    653,493/1,366,827 = 1,366,827/x
  3. Step 3: Cross multiply
    653,493x = 1,366,827 × 1,366,827
  4. Step 4: Simplify right side
    653,493x = 1,868,216,047,929
  5. Step 5: Solve for x
    x = 1,868,216,047,929/653,493
  6. Step 6: Final answer
    x = 2,858,815.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.