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Finding the Third Proportional to 873,426 and 1,909,782

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Solution

The third proportional to 873,426 and 1,909,782 is: 4,175,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,426 : 1,909,782 = 1,909,782 : x
  2. Step 2: Convert to fraction form
    873,426/1,909,782 = 1,909,782/x
  3. Step 3: Cross multiply
    873,426x = 1,909,782 × 1,909,782
  4. Step 4: Simplify right side
    873,426x = 3,647,267,287,524
  5. Step 5: Solve for x
    x = 3,647,267,287,524/873,426
  6. Step 6: Final answer
    x = 4,175,817.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.