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Finding the Third Proportional to 831,957.75 and 1,188,884.25

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Solution

The third proportional to 831,957.75 and 1,188,884.25 is: 1,698,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,957.75 : 1,188,884.25 = 1,188,884.25 : x
  2. Step 2: Convert to fraction form
    831,957.75/1,188,884.25 = 1,188,884.25/x
  3. Step 3: Cross multiply
    831,957.75x = 1,188,884.25 × 1,188,884.25
  4. Step 4: Simplify right side
    831,957.75x = 1,413,445,759,898.06
  5. Step 5: Solve for x
    x = 1,413,445,759,898.06/831,957.75
  6. Step 6: Final answer
    x = 1,698,939.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.