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Finding the Third Proportional to 671,974 and 1,450,840

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Solution

The third proportional to 671,974 and 1,450,840 is: 3,132,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,974 : 1,450,840 = 1,450,840 : x
  2. Step 2: Convert to fraction form
    671,974/1,450,840 = 1,450,840/x
  3. Step 3: Cross multiply
    671,974x = 1,450,840 × 1,450,840
  4. Step 4: Simplify right side
    671,974x = 2,104,936,705,600
  5. Step 5: Solve for x
    x = 2,104,936,705,600/671,974
  6. Step 6: Final answer
    x = 3,132,467.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.