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Finding the Third Proportional to 401,838 and 859,602

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Solution

The third proportional to 401,838 and 859,602 is: 1,838,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,838 : 859,602 = 859,602 : x
  2. Step 2: Convert to fraction form
    401,838/859,602 = 859,602/x
  3. Step 3: Cross multiply
    401,838x = 859,602 × 859,602
  4. Step 4: Simplify right side
    401,838x = 738,915,598,404
  5. Step 5: Solve for x
    x = 738,915,598,404/401,838
  6. Step 6: Final answer
    x = 1,838,839.53

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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.