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Finding the Third Proportional to 3,593,464 and 5,285,106

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Solution

The third proportional to 3,593,464 and 5,285,106 is: 7,773,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593,464 : 5,285,106 = 5,285,106 : x
  2. Step 2: Convert to fraction form
    3,593,464/5,285,106 = 5,285,106/x
  3. Step 3: Cross multiply
    3,593,464x = 5,285,106 × 5,285,106
  4. Step 4: Simplify right side
    3,593,464x = 27,932,345,431,236
  5. Step 5: Solve for x
    x = 27,932,345,431,236/3,593,464
  6. Step 6: Final answer
    x = 7,773,097.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.