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Finding the Third Proportional to 571,563 and 1,207,278

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Solution

The third proportional to 571,563 and 1,207,278 is: 2,550,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,563 : 1,207,278 = 1,207,278 : x
  2. Step 2: Convert to fraction form
    571,563/1,207,278 = 1,207,278/x
  3. Step 3: Cross multiply
    571,563x = 1,207,278 × 1,207,278
  4. Step 4: Simplify right side
    571,563x = 1,457,520,169,284
  5. Step 5: Solve for x
    x = 1,457,520,169,284/571,563
  6. Step 6: Final answer
    x = 2,550,060.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.