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Finding the Third Proportional to 445,488 and 934,716

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Solution

The third proportional to 445,488 and 934,716 is: 1,961,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,488 : 934,716 = 934,716 : x
  2. Step 2: Convert to fraction form
    445,488/934,716 = 934,716/x
  3. Step 3: Cross multiply
    445,488x = 934,716 × 934,716
  4. Step 4: Simplify right side
    445,488x = 873,694,000,656
  5. Step 5: Solve for x
    x = 873,694,000,656/445,488
  6. Step 6: Final answer
    x = 1,961,206.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.