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Finding the Third Proportional to 448,926 and 960,069

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Solution

The third proportional to 448,926 and 960,069 is: 2,053,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,926 : 960,069 = 960,069 : x
  2. Step 2: Convert to fraction form
    448,926/960,069 = 960,069/x
  3. Step 3: Cross multiply
    448,926x = 960,069 × 960,069
  4. Step 4: Simplify right side
    448,926x = 921,732,484,761
  5. Step 5: Solve for x
    x = 921,732,484,761/448,926
  6. Step 6: Final answer
    x = 2,053,194.70

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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.