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Finding the Third Proportional to 517,943 and 1,131,951

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Solution

The third proportional to 517,943 and 1,131,951 is: 2,473,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,943 : 1,131,951 = 1,131,951 : x
  2. Step 2: Convert to fraction form
    517,943/1,131,951 = 1,131,951/x
  3. Step 3: Cross multiply
    517,943x = 1,131,951 × 1,131,951
  4. Step 4: Simplify right side
    517,943x = 1,281,313,066,401
  5. Step 5: Solve for x
    x = 1,281,313,066,401/517,943
  6. Step 6: Final answer
    x = 2,473,849.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.