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Finding the Third Proportional to 758,392 and 1,610,096

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Solution

The third proportional to 758,392 and 1,610,096 is: 3,418,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,392 : 1,610,096 = 1,610,096 : x
  2. Step 2: Convert to fraction form
    758,392/1,610,096 = 1,610,096/x
  3. Step 3: Cross multiply
    758,392x = 1,610,096 × 1,610,096
  4. Step 4: Simplify right side
    758,392x = 2,592,409,129,216
  5. Step 5: Solve for x
    x = 2,592,409,129,216/758,392
  6. Step 6: Final answer
    x = 3,418,297.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.