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Finding the Third Proportional to 524,355 and 1,117,344

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Solution

The third proportional to 524,355 and 1,117,344 is: 2,380,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,355 : 1,117,344 = 1,117,344 : x
  2. Step 2: Convert to fraction form
    524,355/1,117,344 = 1,117,344/x
  3. Step 3: Cross multiply
    524,355x = 1,117,344 × 1,117,344
  4. Step 4: Simplify right side
    524,355x = 1,248,457,614,336
  5. Step 5: Solve for x
    x = 1,248,457,614,336/524,355
  6. Step 6: Final answer
    x = 2,380,939.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.