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Finding the Third Proportional to 750,999 and 1,564,152

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Solution

The third proportional to 750,999 and 1,564,152 is: 3,257,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,999 : 1,564,152 = 1,564,152 : x
  2. Step 2: Convert to fraction form
    750,999/1,564,152 = 1,564,152/x
  3. Step 3: Cross multiply
    750,999x = 1,564,152 × 1,564,152
  4. Step 4: Simplify right side
    750,999x = 2,446,571,479,104
  5. Step 5: Solve for x
    x = 2,446,571,479,104/750,999
  6. Step 6: Final answer
    x = 3,257,755.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.