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Finding the Third Proportional to 511,281 and 1,112,343

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Solution

The third proportional to 511,281 and 1,112,343 is: 2,420,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,281 : 1,112,343 = 1,112,343 : x
  2. Step 2: Convert to fraction form
    511,281/1,112,343 = 1,112,343/x
  3. Step 3: Cross multiply
    511,281x = 1,112,343 × 1,112,343
  4. Step 4: Simplify right side
    511,281x = 1,237,306,949,649
  5. Step 5: Solve for x
    x = 1,237,306,949,649/511,281
  6. Step 6: Final answer
    x = 2,420,013.55

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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.