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Finding the Third Proportional to 726,638 and 1,697,213

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Solution

The third proportional to 726,638 and 1,697,213 is: 3,964,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,638 : 1,697,213 = 1,697,213 : x
  2. Step 2: Convert to fraction form
    726,638/1,697,213 = 1,697,213/x
  3. Step 3: Cross multiply
    726,638x = 1,697,213 × 1,697,213
  4. Step 4: Simplify right side
    726,638x = 2,880,531,967,369
  5. Step 5: Solve for x
    x = 2,880,531,967,369/726,638
  6. Step 6: Final answer
    x = 3,964,191.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.