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Finding the Third Proportional to 726,634.88 and 1,697,206.88

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Solution

The third proportional to 726,634.88 and 1,697,206.88 is: 3,964,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,634.88 : 1,697,206.88 = 1,697,206.88 : x
  2. Step 2: Convert to fraction form
    726,634.88/1,697,206.88 = 1,697,206.88/x
  3. Step 3: Cross multiply
    726,634.88x = 1,697,206.88 × 1,697,206.88
  4. Step 4: Simplify right side
    726,634.88x = 2,880,511,176,547.27
  5. Step 5: Solve for x
    x = 2,880,511,176,547.27/726,634.88
  6. Step 6: Final answer
    x = 3,964,179.64

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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.