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Finding the Third Proportional to 911,452 and 1,963,148

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Solution

The third proportional to 911,452 and 1,963,148 is: 4,228,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,452 : 1,963,148 = 1,963,148 : x
  2. Step 2: Convert to fraction form
    911,452/1,963,148 = 1,963,148/x
  3. Step 3: Cross multiply
    911,452x = 1,963,148 × 1,963,148
  4. Step 4: Simplify right side
    911,452x = 3,853,950,069,904
  5. Step 5: Solve for x
    x = 3,853,950,069,904/911,452
  6. Step 6: Final answer
    x = 4,228,363.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.