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Finding the Third Proportional to 952,566 and 1,473,641

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Solution

The third proportional to 952,566 and 1,473,641 is: 2,279,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,566 : 1,473,641 = 1,473,641 : x
  2. Step 2: Convert to fraction form
    952,566/1,473,641 = 1,473,641/x
  3. Step 3: Cross multiply
    952,566x = 1,473,641 × 1,473,641
  4. Step 4: Simplify right side
    952,566x = 2,171,617,796,881
  5. Step 5: Solve for x
    x = 2,171,617,796,881/952,566
  6. Step 6: Final answer
    x = 2,279,755.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.