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Finding the Third Proportional to 761,976 and 1,628,922

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Solution

The third proportional to 761,976 and 1,628,922 is: 3,482,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,976 : 1,628,922 = 1,628,922 : x
  2. Step 2: Convert to fraction form
    761,976/1,628,922 = 1,628,922/x
  3. Step 3: Cross multiply
    761,976x = 1,628,922 × 1,628,922
  4. Step 4: Simplify right side
    761,976x = 2,653,386,882,084
  5. Step 5: Solve for x
    x = 2,653,386,882,084/761,976
  6. Step 6: Final answer
    x = 3,482,244.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.