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Finding the Third Proportional to 842,274.07 and 1,263,000.09

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Solution

The third proportional to 842,274.07 and 1,263,000.09 is: 1,893,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,274.07 : 1,263,000.09 = 1,263,000.09 : x
  2. Step 2: Convert to fraction form
    842,274.07/1,263,000.09 = 1,263,000.09/x
  3. Step 3: Cross multiply
    842,274.07x = 1,263,000.09 × 1,263,000.09
  4. Step 4: Simplify right side
    842,274.07x = 1,595,169,236,812.51
  5. Step 5: Solve for x
    x = 1,595,169,236,812.51/842,274.07
  6. Step 6: Final answer
    x = 1,893,883.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.