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Finding the Third Proportional to 426,000.52 and 911,843.58

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Solution

The third proportional to 426,000.52 and 911,843.58 is: 1,951,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,000.52 : 911,843.58 = 911,843.58 : x
  2. Step 2: Convert to fraction form
    426,000.52/911,843.58 = 911,843.58/x
  3. Step 3: Cross multiply
    426,000.52x = 911,843.58 × 911,843.58
  4. Step 4: Simplify right side
    426,000.52x = 831,458,710,967.80
  5. Step 5: Solve for x
    x = 831,458,710,967.80/426,000.52
  6. Step 6: Final answer
    x = 1,951,778.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.