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Finding the Third Proportional to 448,828.59 and 973,953.49

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Solution

The third proportional to 448,828.59 and 973,953.49 is: 2,113,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,828.59 : 973,953.49 = 973,953.49 : x
  2. Step 2: Convert to fraction form
    448,828.59/973,953.49 = 973,953.49/x
  3. Step 3: Cross multiply
    448,828.59x = 973,953.49 × 973,953.49
  4. Step 4: Simplify right side
    448,828.59x = 948,585,404,944.23
  5. Step 5: Solve for x
    x = 948,585,404,944.23/448,828.59
  6. Step 6: Final answer
    x = 2,113,469.19

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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.