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Finding the Third Proportional to 422,911 and 911,840

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Solution

The third proportional to 422,911 and 911,840 is: 1,966,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911 : 911,840 = 911,840 : x
  2. Step 2: Convert to fraction form
    422,911/911,840 = 911,840/x
  3. Step 3: Cross multiply
    422,911x = 911,840 × 911,840
  4. Step 4: Simplify right side
    422,911x = 831,452,185,600
  5. Step 5: Solve for x
    x = 831,452,185,600/422,911
  6. Step 6: Final answer
    x = 1,966,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.