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Finding the Third Proportional to 628,952 and 967,896

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Solution

The third proportional to 628,952 and 967,896 is: 1,489,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,952 : 967,896 = 967,896 : x
  2. Step 2: Convert to fraction form
    628,952/967,896 = 967,896/x
  3. Step 3: Cross multiply
    628,952x = 967,896 × 967,896
  4. Step 4: Simplify right side
    628,952x = 936,822,666,816
  5. Step 5: Solve for x
    x = 936,822,666,816/628,952
  6. Step 6: Final answer
    x = 1,489,497.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.