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Finding the Third Proportional to 669,806 and 936,896

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Solution

The third proportional to 669,806 and 936,896 is: 1,310,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,806 : 936,896 = 936,896 : x
  2. Step 2: Convert to fraction form
    669,806/936,896 = 936,896/x
  3. Step 3: Cross multiply
    669,806x = 936,896 × 936,896
  4. Step 4: Simplify right side
    669,806x = 877,774,114,816
  5. Step 5: Solve for x
    x = 877,774,114,816/669,806
  6. Step 6: Final answer
    x = 1,310,490.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.