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Finding the Third Proportional to 1,760,698.50 and 3,858,924

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Solution

The third proportional to 1,760,698.50 and 3,858,924 is: 8,457,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,698.50 : 3,858,924 = 3,858,924 : x
  2. Step 2: Convert to fraction form
    1,760,698.50/3,858,924 = 3,858,924/x
  3. Step 3: Cross multiply
    1,760,698.50x = 3,858,924 × 3,858,924
  4. Step 4: Simplify right side
    1,760,698.50x = 14,891,294,437,776
  5. Step 5: Solve for x
    x = 14,891,294,437,776/1,760,698.50
  6. Step 6: Final answer
    x = 8,457,606.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.