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Finding the Third Proportional to 452,034 and 950,616

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Solution

The third proportional to 452,034 and 950,616 is: 1,999,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,034 : 950,616 = 950,616 : x
  2. Step 2: Convert to fraction form
    452,034/950,616 = 950,616/x
  3. Step 3: Cross multiply
    452,034x = 950,616 × 950,616
  4. Step 4: Simplify right side
    452,034x = 903,670,779,456
  5. Step 5: Solve for x
    x = 903,670,779,456/452,034
  6. Step 6: Final answer
    x = 1,999,121.26

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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.