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Finding the Third Proportional to 507,177 and 1,070,941

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Solution

The third proportional to 507,177 and 1,070,941 is: 2,261,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,177 : 1,070,941 = 1,070,941 : x
  2. Step 2: Convert to fraction form
    507,177/1,070,941 = 1,070,941/x
  3. Step 3: Cross multiply
    507,177x = 1,070,941 × 1,070,941
  4. Step 4: Simplify right side
    507,177x = 1,146,914,625,481
  5. Step 5: Solve for x
    x = 1,146,914,625,481/507,177
  6. Step 6: Final answer
    x = 2,261,369.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.