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Finding the Third Proportional to 831,948.75 and 1,188,874.13

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Solution

The third proportional to 831,948.75 and 1,188,874.13 is: 1,698,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,948.75 : 1,188,874.13 = 1,188,874.13 : x
  2. Step 2: Convert to fraction form
    831,948.75/1,188,874.13 = 1,188,874.13/x
  3. Step 3: Cross multiply
    831,948.75x = 1,188,874.13 × 1,188,874.13
  4. Step 4: Simplify right side
    831,948.75x = 1,413,421,685,094.52
  5. Step 5: Solve for x
    x = 1,413,421,685,094.52/831,948.75
  6. Step 6: Final answer
    x = 1,698,928.79

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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.