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Finding the Third Proportional to 511,140 and 1,087,848

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Solution

The third proportional to 511,140 and 1,087,848 is: 2,315,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,140 : 1,087,848 = 1,087,848 : x
  2. Step 2: Convert to fraction form
    511,140/1,087,848 = 1,087,848/x
  3. Step 3: Cross multiply
    511,140x = 1,087,848 × 1,087,848
  4. Step 4: Simplify right side
    511,140x = 1,183,413,271,104
  5. Step 5: Solve for x
    x = 1,183,413,271,104/511,140
  6. Step 6: Final answer
    x = 2,315,242.93

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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.