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Finding the Third Proportional to 591,270 and 913,152

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Solution

The third proportional to 591,270 and 913,152 is: 1,410,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,270 : 913,152 = 913,152 : x
  2. Step 2: Convert to fraction form
    591,270/913,152 = 913,152/x
  3. Step 3: Cross multiply
    591,270x = 913,152 × 913,152
  4. Step 4: Simplify right side
    591,270x = 833,846,575,104
  5. Step 5: Solve for x
    x = 833,846,575,104/591,270
  6. Step 6: Final answer
    x = 1,410,263.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.