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Finding the Third Proportional to 677,922 and 1,473,807

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Solution

The third proportional to 677,922 and 1,473,807 is: 3,204,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,922 : 1,473,807 = 1,473,807 : x
  2. Step 2: Convert to fraction form
    677,922/1,473,807 = 1,473,807/x
  3. Step 3: Cross multiply
    677,922x = 1,473,807 × 1,473,807
  4. Step 4: Simplify right side
    677,922x = 2,172,107,073,249
  5. Step 5: Solve for x
    x = 2,172,107,073,249/677,922
  6. Step 6: Final answer
    x = 3,204,066.36

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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.