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Finding the Third Proportional to 448,674 and 976,081

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Solution

The third proportional to 448,674 and 976,081 is: 2,123,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,674 : 976,081 = 976,081 : x
  2. Step 2: Convert to fraction form
    448,674/976,081 = 976,081/x
  3. Step 3: Cross multiply
    448,674x = 976,081 × 976,081
  4. Step 4: Simplify right side
    448,674x = 952,734,118,561
  5. Step 5: Solve for x
    x = 952,734,118,561/448,674
  6. Step 6: Final answer
    x = 2,123,444.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.