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Finding the Third Proportional to 801,685 and 1,203,582

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Solution

The third proportional to 801,685 and 1,203,582 is: 1,806,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,685 : 1,203,582 = 1,203,582 : x
  2. Step 2: Convert to fraction form
    801,685/1,203,582 = 1,203,582/x
  3. Step 3: Cross multiply
    801,685x = 1,203,582 × 1,203,582
  4. Step 4: Simplify right side
    801,685x = 1,448,609,630,724
  5. Step 5: Solve for x
    x = 1,448,609,630,724/801,685
  6. Step 6: Final answer
    x = 1,806,956.14

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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.