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Finding the Third Proportional to 468,646 and 970,524

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Solution

The third proportional to 468,646 and 970,524 is: 2,009,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,646 : 970,524 = 970,524 : x
  2. Step 2: Convert to fraction form
    468,646/970,524 = 970,524/x
  3. Step 3: Cross multiply
    468,646x = 970,524 × 970,524
  4. Step 4: Simplify right side
    468,646x = 941,916,834,576
  5. Step 5: Solve for x
    x = 941,916,834,576/468,646
  6. Step 6: Final answer
    x = 2,009,868.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.