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Finding the Third Proportional to 1,523,144 and 3,241,896

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Solution

The third proportional to 1,523,144 and 3,241,896 is: 6,900,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,144 : 3,241,896 = 3,241,896 : x
  2. Step 2: Convert to fraction form
    1,523,144/3,241,896 = 3,241,896/x
  3. Step 3: Cross multiply
    1,523,144x = 3,241,896 × 3,241,896
  4. Step 4: Simplify right side
    1,523,144x = 10,509,889,674,816
  5. Step 5: Solve for x
    x = 10,509,889,674,816/1,523,144
  6. Step 6: Final answer
    x = 6,900,128.73

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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.