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Finding the Third Proportional to 1,662,196 and 3,586,824

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Solution

The third proportional to 1,662,196 and 3,586,824 is: 7,739,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,196 : 3,586,824 = 3,586,824 : x
  2. Step 2: Convert to fraction form
    1,662,196/3,586,824 = 3,586,824/x
  3. Step 3: Cross multiply
    1,662,196x = 3,586,824 × 3,586,824
  4. Step 4: Simplify right side
    1,662,196x = 12,865,306,406,976
  5. Step 5: Solve for x
    x = 12,865,306,406,976/1,662,196
  6. Step 6: Final answer
    x = 7,739,945.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.