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Finding the Third Proportional to 448,206 and 956,316

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Solution

The third proportional to 448,206 and 956,316 is: 2,040,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,206 : 956,316 = 956,316 : x
  2. Step 2: Convert to fraction form
    448,206/956,316 = 956,316/x
  3. Step 3: Cross multiply
    448,206x = 956,316 × 956,316
  4. Step 4: Simplify right side
    448,206x = 914,540,291,856
  5. Step 5: Solve for x
    x = 914,540,291,856/448,206
  6. Step 6: Final answer
    x = 2,040,446.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.