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Finding the Third Proportional to 511,142 and 1,087,852

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Solution

The third proportional to 511,142 and 1,087,852 is: 2,315,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,142 : 1,087,852 = 1,087,852 : x
  2. Step 2: Convert to fraction form
    511,142/1,087,852 = 1,087,852/x
  3. Step 3: Cross multiply
    511,142x = 1,087,852 × 1,087,852
  4. Step 4: Simplify right side
    511,142x = 1,183,421,973,904
  5. Step 5: Solve for x
    x = 1,183,421,973,904/511,142
  6. Step 6: Final answer
    x = 2,315,250.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.