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Finding the Third Proportional to 426,026.25 and 911,884.50

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Solution

The third proportional to 426,026.25 and 911,884.50 is: 1,951,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,026.25 : 911,884.50 = 911,884.50 : x
  2. Step 2: Convert to fraction form
    426,026.25/911,884.50 = 911,884.50/x
  3. Step 3: Cross multiply
    426,026.25x = 911,884.50 × 911,884.50
  4. Step 4: Simplify right side
    426,026.25x = 831,533,341,340.25
  5. Step 5: Solve for x
    x = 831,533,341,340.25/426,026.25
  6. Step 6: Final answer
    x = 1,951,835.93

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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.