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Finding the Third Proportional to 842,132.63 and 1,294,431.75

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Solution

The third proportional to 842,132.63 and 1,294,431.75 is: 1,989,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,132.63 : 1,294,431.75 = 1,294,431.75 : x
  2. Step 2: Convert to fraction form
    842,132.63/1,294,431.75 = 1,294,431.75/x
  3. Step 3: Cross multiply
    842,132.63x = 1,294,431.75 × 1,294,431.75
  4. Step 4: Simplify right side
    842,132.63x = 1,675,553,555,408.06
  5. Step 5: Solve for x
    x = 1,675,553,555,408.06/842,132.63
  6. Step 6: Final answer
    x = 1,989,655.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.