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Finding the Third Proportional to 734,118 and 1,625,457

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Solution

The third proportional to 734,118 and 1,625,457 is: 3,599,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,118 : 1,625,457 = 1,625,457 : x
  2. Step 2: Convert to fraction form
    734,118/1,625,457 = 1,625,457/x
  3. Step 3: Cross multiply
    734,118x = 1,625,457 × 1,625,457
  4. Step 4: Simplify right side
    734,118x = 2,642,110,458,849
  5. Step 5: Solve for x
    x = 2,642,110,458,849/734,118
  6. Step 6: Final answer
    x = 3,599,026.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.