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Finding the Third Proportional to 575,847 and 901,278

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Solution

The third proportional to 575,847 and 901,278 is: 1,410,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,847 : 901,278 = 901,278 : x
  2. Step 2: Convert to fraction form
    575,847/901,278 = 901,278/x
  3. Step 3: Cross multiply
    575,847x = 901,278 × 901,278
  4. Step 4: Simplify right side
    575,847x = 812,302,033,284
  5. Step 5: Solve for x
    x = 812,302,033,284/575,847
  6. Step 6: Final answer
    x = 1,410,621.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.