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Finding the Third Proportional to 511,957 and 1,117,082

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Solution

The third proportional to 511,957 and 1,117,082 is: 2,437,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,957 : 1,117,082 = 1,117,082 : x
  2. Step 2: Convert to fraction form
    511,957/1,117,082 = 1,117,082/x
  3. Step 3: Cross multiply
    511,957x = 1,117,082 × 1,117,082
  4. Step 4: Simplify right side
    511,957x = 1,247,872,194,724
  5. Step 5: Solve for x
    x = 1,247,872,194,724/511,957
  6. Step 6: Final answer
    x = 2,437,455.09

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Why These Related Problems?

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