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Finding the Third Proportional to 681,462 and 1,406,628

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Solution

The third proportional to 681,462 and 1,406,628 is: 2,903,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,462 : 1,406,628 = 1,406,628 : x
  2. Step 2: Convert to fraction form
    681,462/1,406,628 = 1,406,628/x
  3. Step 3: Cross multiply
    681,462x = 1,406,628 × 1,406,628
  4. Step 4: Simplify right side
    681,462x = 1,978,602,330,384
  5. Step 5: Solve for x
    x = 1,978,602,330,384/681,462
  6. Step 6: Final answer
    x = 2,903,466.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.