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Finding the Third Proportional to 622,924 and 954,948

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Solution

The third proportional to 622,924 and 954,948 is: 1,463,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,924 : 954,948 = 954,948 : x
  2. Step 2: Convert to fraction form
    622,924/954,948 = 954,948/x
  3. Step 3: Cross multiply
    622,924x = 954,948 × 954,948
  4. Step 4: Simplify right side
    622,924x = 911,925,682,704
  5. Step 5: Solve for x
    x = 911,925,682,704/622,924
  6. Step 6: Final answer
    x = 1,463,943.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.