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Finding the Third Proportional to 511,068 and 1,111,344

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Solution

The third proportional to 511,068 and 1,111,344 is: 2,416,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,068 : 1,111,344 = 1,111,344 : x
  2. Step 2: Convert to fraction form
    511,068/1,111,344 = 1,111,344/x
  3. Step 3: Cross multiply
    511,068x = 1,111,344 × 1,111,344
  4. Step 4: Simplify right side
    511,068x = 1,235,085,486,336
  5. Step 5: Solve for x
    x = 1,235,085,486,336/511,068
  6. Step 6: Final answer
    x = 2,416,675.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.