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Finding the Third Proportional to 759,142.13 and 1,146,556.13

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Solution

The third proportional to 759,142.13 and 1,146,556.13 is: 1,731,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,142.13 : 1,146,556.13 = 1,146,556.13 : x
  2. Step 2: Convert to fraction form
    759,142.13/1,146,556.13 = 1,146,556.13/x
  3. Step 3: Cross multiply
    759,142.13x = 1,146,556.13 × 1,146,556.13
  4. Step 4: Simplify right side
    759,142.13x = 1,314,590,947,775.02
  5. Step 5: Solve for x
    x = 1,314,590,947,775.02/759,142.13
  6. Step 6: Final answer
    x = 1,731,679.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.