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Finding the Third Proportional to 511,948 and 1,117,060

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Solution

The third proportional to 511,948 and 1,117,060 is: 2,437,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,948 : 1,117,060 = 1,117,060 : x
  2. Step 2: Convert to fraction form
    511,948/1,117,060 = 1,117,060/x
  3. Step 3: Cross multiply
    511,948x = 1,117,060 × 1,117,060
  4. Step 4: Simplify right side
    511,948x = 1,247,823,043,600
  5. Step 5: Solve for x
    x = 1,247,823,043,600/511,948
  6. Step 6: Final answer
    x = 2,437,401.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.