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Finding the Third Proportional to 1,034,430.75 and 2,042,334

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Solution

The third proportional to 1,034,430.75 and 2,042,334 is: 4,032,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,430.75 : 2,042,334 = 2,042,334 : x
  2. Step 2: Convert to fraction form
    1,034,430.75/2,042,334 = 2,042,334/x
  3. Step 3: Cross multiply
    1,034,430.75x = 2,042,334 × 2,042,334
  4. Step 4: Simplify right side
    1,034,430.75x = 4,171,128,167,556
  5. Step 5: Solve for x
    x = 4,171,128,167,556/1,034,430.75
  6. Step 6: Final answer
    x = 4,032,293.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.