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Finding the Third Proportional to 856,656 and 1,904,794.50

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Solution

The third proportional to 856,656 and 1,904,794.50 is: 4,235,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,656 : 1,904,794.50 = 1,904,794.50 : x
  2. Step 2: Convert to fraction form
    856,656/1,904,794.50 = 1,904,794.50/x
  3. Step 3: Cross multiply
    856,656x = 1,904,794.50 × 1,904,794.50
  4. Step 4: Simplify right side
    856,656x = 3,628,242,087,230.25
  5. Step 5: Solve for x
    x = 3,628,242,087,230.25/856,656
  6. Step 6: Final answer
    x = 4,235,354.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.