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Finding the Third Proportional to 636,069 and 1,382,565

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Solution

The third proportional to 636,069 and 1,382,565 is: 3,005,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,069 : 1,382,565 = 1,382,565 : x
  2. Step 2: Convert to fraction form
    636,069/1,382,565 = 1,382,565/x
  3. Step 3: Cross multiply
    636,069x = 1,382,565 × 1,382,565
  4. Step 4: Simplify right side
    636,069x = 1,911,485,979,225
  5. Step 5: Solve for x
    x = 1,911,485,979,225/636,069
  6. Step 6: Final answer
    x = 3,005,155.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.