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Finding the Third Proportional to 560,313 and 1,199,357

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Solution

The third proportional to 560,313 and 1,199,357 is: 2,567,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,313 : 1,199,357 = 1,199,357 : x
  2. Step 2: Convert to fraction form
    560,313/1,199,357 = 1,199,357/x
  3. Step 3: Cross multiply
    560,313x = 1,199,357 × 1,199,357
  4. Step 4: Simplify right side
    560,313x = 1,438,457,213,449
  5. Step 5: Solve for x
    x = 1,438,457,213,449/560,313
  6. Step 6: Final answer
    x = 2,567,238.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.