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Finding the Third Proportional to 594,054 and 919,225

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Solution

The third proportional to 594,054 and 919,225 is: 1,422,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,054 : 919,225 = 919,225 : x
  2. Step 2: Convert to fraction form
    594,054/919,225 = 919,225/x
  3. Step 3: Cross multiply
    594,054x = 919,225 × 919,225
  4. Step 4: Simplify right side
    594,054x = 844,974,600,625
  5. Step 5: Solve for x
    x = 844,974,600,625/594,054
  6. Step 6: Final answer
    x = 1,422,386.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.