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Finding the Third Proportional to 524,812 and 1,144,588

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Solution

The third proportional to 524,812 and 1,144,588 is: 2,496,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,812 : 1,144,588 = 1,144,588 : x
  2. Step 2: Convert to fraction form
    524,812/1,144,588 = 1,144,588/x
  3. Step 3: Cross multiply
    524,812x = 1,144,588 × 1,144,588
  4. Step 4: Simplify right side
    524,812x = 1,310,081,689,744
  5. Step 5: Solve for x
    x = 1,310,081,689,744/524,812
  6. Step 6: Final answer
    x = 2,496,287.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.