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Finding the Third Proportional to 767,907 and 1,675,566

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Solution

The third proportional to 767,907 and 1,675,566 is: 3,656,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,907 : 1,675,566 = 1,675,566 : x
  2. Step 2: Convert to fraction form
    767,907/1,675,566 = 1,675,566/x
  3. Step 3: Cross multiply
    767,907x = 1,675,566 × 1,675,566
  4. Step 4: Simplify right side
    767,907x = 2,807,521,420,356
  5. Step 5: Solve for x
    x = 2,807,521,420,356/767,907
  6. Step 6: Final answer
    x = 3,656,069.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.