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Finding the Third Proportional to 401,913 and 866,922

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Solution

The third proportional to 401,913 and 866,922 is: 1,869,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,913 : 866,922 = 866,922 : x
  2. Step 2: Convert to fraction form
    401,913/866,922 = 866,922/x
  3. Step 3: Cross multiply
    401,913x = 866,922 × 866,922
  4. Step 4: Simplify right side
    401,913x = 751,553,754,084
  5. Step 5: Solve for x
    x = 751,553,754,084/401,913
  6. Step 6: Final answer
    x = 1,869,941.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.