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Finding the Third Proportional to 427,344 and 911,892

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Solution

The third proportional to 427,344 and 911,892 is: 1,945,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,344 : 911,892 = 911,892 : x
  2. Step 2: Convert to fraction form
    427,344/911,892 = 911,892/x
  3. Step 3: Cross multiply
    427,344x = 911,892 × 911,892
  4. Step 4: Simplify right side
    427,344x = 831,547,019,664
  5. Step 5: Solve for x
    x = 831,547,019,664/427,344
  6. Step 6: Final answer
    x = 1,945,849.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.