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Finding the Third Proportional to 912,912 and 1,970,163

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Solution

The third proportional to 912,912 and 1,970,163 is: 4,251,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,912 : 1,970,163 = 1,970,163 : x
  2. Step 2: Convert to fraction form
    912,912/1,970,163 = 1,970,163/x
  3. Step 3: Cross multiply
    912,912x = 1,970,163 × 1,970,163
  4. Step 4: Simplify right side
    912,912x = 3,881,542,246,569
  5. Step 5: Solve for x
    x = 3,881,542,246,569/912,912
  6. Step 6: Final answer
    x = 4,251,825.20

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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.