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Finding the Third Proportional to 560,956 and 1,207,448

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Solution

The third proportional to 560,956 and 1,207,448 is: 2,599,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,956 : 1,207,448 = 1,207,448 : x
  2. Step 2: Convert to fraction form
    560,956/1,207,448 = 1,207,448/x
  3. Step 3: Cross multiply
    560,956x = 1,207,448 × 1,207,448
  4. Step 4: Simplify right side
    560,956x = 1,457,930,672,704
  5. Step 5: Solve for x
    x = 1,457,930,672,704/560,956
  6. Step 6: Final answer
    x = 2,599,010.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.