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Finding the Third Proportional to 1,973,106 and 2,959,923

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Solution

The third proportional to 1,973,106 and 2,959,923 is: 4,440,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,106 : 2,959,923 = 2,959,923 : x
  2. Step 2: Convert to fraction form
    1,973,106/2,959,923 = 2,959,923/x
  3. Step 3: Cross multiply
    1,973,106x = 2,959,923 × 2,959,923
  4. Step 4: Simplify right side
    1,973,106x = 8,761,144,165,929
  5. Step 5: Solve for x
    x = 8,761,144,165,929/1,973,106
  6. Step 6: Final answer
    x = 4,440,280.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.