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Finding the Third Proportional to 448,983 and 960,228

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Solution

The third proportional to 448,983 and 960,228 is: 2,053,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,983 : 960,228 = 960,228 : x
  2. Step 2: Convert to fraction form
    448,983/960,228 = 960,228/x
  3. Step 3: Cross multiply
    448,983x = 960,228 × 960,228
  4. Step 4: Simplify right side
    448,983x = 922,037,811,984
  5. Step 5: Solve for x
    x = 922,037,811,984/448,983
  6. Step 6: Final answer
    x = 2,053,614.08

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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.