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Finding the Third Proportional to 1,695,664 and 3,685,843

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Solution

The third proportional to 1,695,664 and 3,685,843 is: 8,011,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,664 : 3,685,843 = 3,685,843 : x
  2. Step 2: Convert to fraction form
    1,695,664/3,685,843 = 3,685,843/x
  3. Step 3: Cross multiply
    1,695,664x = 3,685,843 × 3,685,843
  4. Step 4: Simplify right side
    1,695,664x = 13,585,438,620,649
  5. Step 5: Solve for x
    x = 13,585,438,620,649/1,695,664
  6. Step 6: Final answer
    x = 8,011,869.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.