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Finding the Third Proportional to 1,032,090.75 and 2,331,765

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Solution

The third proportional to 1,032,090.75 and 2,331,765 is: 5,268,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,090.75 : 2,331,765 = 2,331,765 : x
  2. Step 2: Convert to fraction form
    1,032,090.75/2,331,765 = 2,331,765/x
  3. Step 3: Cross multiply
    1,032,090.75x = 2,331,765 × 2,331,765
  4. Step 4: Simplify right side
    1,032,090.75x = 5,437,128,015,225
  5. Step 5: Solve for x
    x = 5,437,128,015,225/1,032,090.75
  6. Step 6: Final answer
    x = 5,268,071.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.