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Finding the Third Proportional to 511,386 and 1,134,552

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Solution

The third proportional to 511,386 and 1,134,552 is: 2,517,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,386 : 1,134,552 = 1,134,552 : x
  2. Step 2: Convert to fraction form
    511,386/1,134,552 = 1,134,552/x
  3. Step 3: Cross multiply
    511,386x = 1,134,552 × 1,134,552
  4. Step 4: Simplify right side
    511,386x = 1,287,208,240,704
  5. Step 5: Solve for x
    x = 1,287,208,240,704/511,386
  6. Step 6: Final answer
    x = 2,517,097.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.