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Finding the Third Proportional to 1,733,084.23 and 3,740,192.09

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Solution

The third proportional to 1,733,084.23 and 3,740,192.09 is: 8,071,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,084.23 : 3,740,192.09 = 3,740,192.09 : x
  2. Step 2: Convert to fraction form
    1,733,084.23/3,740,192.09 = 3,740,192.09/x
  3. Step 3: Cross multiply
    1,733,084.23x = 3,740,192.09 × 3,740,192.09
  4. Step 4: Simplify right side
    1,733,084.23x = 13,989,036,839,709.51
  5. Step 5: Solve for x
    x = 13,989,036,839,709.51/1,733,084.23
  6. Step 6: Final answer
    x = 8,071,758.21

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Why These Related Problems?

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