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Finding the Third Proportional to 761,946 and 1,628,865

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Solution

The third proportional to 761,946 and 1,628,865 is: 3,482,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,946 : 1,628,865 = 1,628,865 : x
  2. Step 2: Convert to fraction form
    761,946/1,628,865 = 1,628,865/x
  3. Step 3: Cross multiply
    761,946x = 1,628,865 × 1,628,865
  4. Step 4: Simplify right side
    761,946x = 2,653,201,188,225
  5. Step 5: Solve for x
    x = 2,653,201,188,225/761,946
  6. Step 6: Final answer
    x = 3,482,138.09

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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.