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Finding the Third Proportional to 559,407 and 1,207,266

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Solution

The third proportional to 559,407 and 1,207,266 is: 2,605,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,407 : 1,207,266 = 1,207,266 : x
  2. Step 2: Convert to fraction form
    559,407/1,207,266 = 1,207,266/x
  3. Step 3: Cross multiply
    559,407x = 1,207,266 × 1,207,266
  4. Step 4: Simplify right side
    559,407x = 1,457,491,194,756
  5. Step 5: Solve for x
    x = 1,457,491,194,756/559,407
  6. Step 6: Final answer
    x = 2,605,421.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.