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Finding the Third Proportional to 1,523,192.34 and 3,243,761.44

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Solution

The third proportional to 1,523,192.34 and 3,243,761.44 is: 6,907,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,192.34 : 3,243,761.44 = 3,243,761.44 : x
  2. Step 2: Convert to fraction form
    1,523,192.34/3,243,761.44 = 3,243,761.44/x
  3. Step 3: Cross multiply
    1,523,192.34x = 3,243,761.44 × 3,243,761.44
  4. Step 4: Simplify right side
    1,523,192.34x = 10,521,988,263,412.07
  5. Step 5: Solve for x
    x = 10,521,988,263,412.07/1,523,192.34
  6. Step 6: Final answer
    x = 6,907,852.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.