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Finding the Third Proportional to 831,294 and 1,786,905

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Solution

The third proportional to 831,294 and 1,786,905 is: 3,841,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,294 : 1,786,905 = 1,786,905 : x
  2. Step 2: Convert to fraction form
    831,294/1,786,905 = 1,786,905/x
  3. Step 3: Cross multiply
    831,294x = 1,786,905 × 1,786,905
  4. Step 4: Simplify right side
    831,294x = 3,193,029,479,025
  5. Step 5: Solve for x
    x = 3,193,029,479,025/831,294
  6. Step 6: Final answer
    x = 3,841,035.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.