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Finding the Third Proportional to 505,032 and 1,115,040

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Solution

The third proportional to 505,032 and 1,115,040 is: 2,461,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,032 : 1,115,040 = 1,115,040 : x
  2. Step 2: Convert to fraction form
    505,032/1,115,040 = 1,115,040/x
  3. Step 3: Cross multiply
    505,032x = 1,115,040 × 1,115,040
  4. Step 4: Simplify right side
    505,032x = 1,243,314,201,600
  5. Step 5: Solve for x
    x = 1,243,314,201,600/505,032
  6. Step 6: Final answer
    x = 2,461,852.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.