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Finding the Third Proportional to 507,978 and 1,110,407.06

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Solution

The third proportional to 507,978 and 1,110,407.06 is: 2,427,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978 : 1,110,407.06 = 1,110,407.06 : x
  2. Step 2: Convert to fraction form
    507,978/1,110,407.06 = 1,110,407.06/x
  3. Step 3: Cross multiply
    507,978x = 1,110,407.06 × 1,110,407.06
  4. Step 4: Simplify right side
    507,978x = 1,233,003,844,449.88
  5. Step 5: Solve for x
    x = 1,233,003,844,449.88/507,978
  6. Step 6: Final answer
    x = 2,427,278.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.