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Finding the Third Proportional to 438,690 and 911,828

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Solution

The third proportional to 438,690 and 911,828 is: 1,895,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,690 : 911,828 = 911,828 : x
  2. Step 2: Convert to fraction form
    438,690/911,828 = 911,828/x
  3. Step 3: Cross multiply
    438,690x = 911,828 × 911,828
  4. Step 4: Simplify right side
    438,690x = 831,430,301,584
  5. Step 5: Solve for x
    x = 831,430,301,584/438,690
  6. Step 6: Final answer
    x = 1,895,257.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.