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Finding the Third Proportional to 654,733 and 1,409,582

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Solution

The third proportional to 654,733 and 1,409,582 is: 3,034,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,733 : 1,409,582 = 1,409,582 : x
  2. Step 2: Convert to fraction form
    654,733/1,409,582 = 1,409,582/x
  3. Step 3: Cross multiply
    654,733x = 1,409,582 × 1,409,582
  4. Step 4: Simplify right side
    654,733x = 1,986,921,414,724
  5. Step 5: Solve for x
    x = 1,986,921,414,724/654,733
  6. Step 6: Final answer
    x = 3,034,704.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.