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Finding the Third Proportional to 727,152 and 1,562,250

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Solution

The third proportional to 727,152 and 1,562,250 is: 3,356,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,152 : 1,562,250 = 1,562,250 : x
  2. Step 2: Convert to fraction form
    727,152/1,562,250 = 1,562,250/x
  3. Step 3: Cross multiply
    727,152x = 1,562,250 × 1,562,250
  4. Step 4: Simplify right side
    727,152x = 2,440,625,062,500
  5. Step 5: Solve for x
    x = 2,440,625,062,500/727,152
  6. Step 6: Final answer
    x = 3,356,416.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.