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Finding the Third Proportional to 816,566 and 1,225,663

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Solution

The third proportional to 816,566 and 1,225,663 is: 1,839,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,566 : 1,225,663 = 1,225,663 : x
  2. Step 2: Convert to fraction form
    816,566/1,225,663 = 1,225,663/x
  3. Step 3: Cross multiply
    816,566x = 1,225,663 × 1,225,663
  4. Step 4: Simplify right side
    816,566x = 1,502,249,789,569
  5. Step 5: Solve for x
    x = 1,502,249,789,569/816,566
  6. Step 6: Final answer
    x = 1,839,716.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.