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Finding the Third Proportional to 472,524 and 1,010,616

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Solution

The third proportional to 472,524 and 1,010,616 is: 2,161,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,524 : 1,010,616 = 1,010,616 : x
  2. Step 2: Convert to fraction form
    472,524/1,010,616 = 1,010,616/x
  3. Step 3: Cross multiply
    472,524x = 1,010,616 × 1,010,616
  4. Step 4: Simplify right side
    472,524x = 1,021,344,699,456
  5. Step 5: Solve for x
    x = 1,021,344,699,456/472,524
  6. Step 6: Final answer
    x = 2,161,466.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.