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Finding the Third Proportional to 537,606 and 885,225

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Solution

The third proportional to 537,606 and 885,225 is: 1,457,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,606 : 885,225 = 885,225 : x
  2. Step 2: Convert to fraction form
    537,606/885,225 = 885,225/x
  3. Step 3: Cross multiply
    537,606x = 885,225 × 885,225
  4. Step 4: Simplify right side
    537,606x = 783,623,300,625
  5. Step 5: Solve for x
    x = 783,623,300,625/537,606
  6. Step 6: Final answer
    x = 1,457,616.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.