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Finding the Third Proportional to 842,133.94 and 1,294,434

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Solution

The third proportional to 842,133.94 and 1,294,434 is: 1,989,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,133.94 : 1,294,434 = 1,294,434 : x
  2. Step 2: Convert to fraction form
    842,133.94/1,294,434 = 1,294,434/x
  3. Step 3: Cross multiply
    842,133.94x = 1,294,434 × 1,294,434
  4. Step 4: Simplify right side
    842,133.94x = 1,675,559,380,356
  5. Step 5: Solve for x
    x = 1,675,559,380,356/842,133.94
  6. Step 6: Final answer
    x = 1,989,659.01

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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.