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Finding the Third Proportional to 448,771.13 and 972,313.13

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Solution

The third proportional to 448,771.13 and 972,313.13 is: 2,106,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,771.13 : 972,313.13 = 972,313.13 : x
  2. Step 2: Convert to fraction form
    448,771.13/972,313.13 = 972,313.13/x
  3. Step 3: Cross multiply
    448,771.13x = 972,313.13 × 972,313.13
  4. Step 4: Simplify right side
    448,771.13x = 945,392,813,047.27
  5. Step 5: Solve for x
    x = 945,392,813,047.27/448,771.13
  6. Step 6: Final answer
    x = 2,106,625.76

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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.