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Finding the Third Proportional to 524,346.75 and 1,136,170.13

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Solution

The third proportional to 524,346.75 and 1,136,170.13 is: 2,461,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,346.75 : 1,136,170.13 = 1,136,170.13 : x
  2. Step 2: Convert to fraction form
    524,346.75/1,136,170.13 = 1,136,170.13/x
  3. Step 3: Cross multiply
    524,346.75x = 1,136,170.13 × 1,136,170.13
  4. Step 4: Simplify right side
    524,346.75x = 1,290,882,552,942.52
  5. Step 5: Solve for x
    x = 1,290,882,552,942.52/524,346.75
  6. Step 6: Final answer
    x = 2,461,887.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.