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Finding the Third Proportional to 681,962 and 1,009,724

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Solution

The third proportional to 681,962 and 1,009,724 is: 1,495,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,962 : 1,009,724 = 1,009,724 : x
  2. Step 2: Convert to fraction form
    681,962/1,009,724 = 1,009,724/x
  3. Step 3: Cross multiply
    681,962x = 1,009,724 × 1,009,724
  4. Step 4: Simplify right side
    681,962x = 1,019,542,556,176
  5. Step 5: Solve for x
    x = 1,019,542,556,176/681,962
  6. Step 6: Final answer
    x = 1,495,013.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.