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Finding the Third Proportional to 438,606 and 911,688

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Solution

The third proportional to 438,606 and 911,688 is: 1,895,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,606 : 911,688 = 911,688 : x
  2. Step 2: Convert to fraction form
    438,606/911,688 = 911,688/x
  3. Step 3: Cross multiply
    438,606x = 911,688 × 911,688
  4. Step 4: Simplify right side
    438,606x = 831,175,009,344
  5. Step 5: Solve for x
    x = 831,175,009,344/438,606
  6. Step 6: Final answer
    x = 1,895,037.94

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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.