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Finding the Third Proportional to 689,328 and 1,009,962

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Solution

The third proportional to 689,328 and 1,009,962 is: 1,479,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,328 : 1,009,962 = 1,009,962 : x
  2. Step 2: Convert to fraction form
    689,328/1,009,962 = 1,009,962/x
  3. Step 3: Cross multiply
    689,328x = 1,009,962 × 1,009,962
  4. Step 4: Simplify right side
    689,328x = 1,020,023,241,444
  5. Step 5: Solve for x
    x = 1,020,023,241,444/689,328
  6. Step 6: Final answer
    x = 1,479,735.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.