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Finding the Third Proportional to 426,004 and 911,850.50

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Solution

The third proportional to 426,004 and 911,850.50 is: 1,951,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,004 : 911,850.50 = 911,850.50 : x
  2. Step 2: Convert to fraction form
    426,004/911,850.50 = 911,850.50/x
  3. Step 3: Cross multiply
    426,004x = 911,850.50 × 911,850.50
  4. Step 4: Simplify right side
    426,004x = 831,471,334,350.25
  5. Step 5: Solve for x
    x = 831,471,334,350.25/426,004
  6. Step 6: Final answer
    x = 1,951,792.32

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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.