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Finding the Third Proportional to 438,590 and 911,655

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Solution

The third proportional to 438,590 and 911,655 is: 1,894,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,590 : 911,655 = 911,655 : x
  2. Step 2: Convert to fraction form
    438,590/911,655 = 911,655/x
  3. Step 3: Cross multiply
    438,590x = 911,655 × 911,655
  4. Step 4: Simplify right side
    438,590x = 831,114,839,025
  5. Step 5: Solve for x
    x = 831,114,839,025/438,590
  6. Step 6: Final answer
    x = 1,894,969.88

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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.