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Finding the Third Proportional to 761,778 and 1,628,505

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Solution

The third proportional to 761,778 and 1,628,505 is: 3,481,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,778 : 1,628,505 = 1,628,505 : x
  2. Step 2: Convert to fraction form
    761,778/1,628,505 = 1,628,505/x
  3. Step 3: Cross multiply
    761,778x = 1,628,505 × 1,628,505
  4. Step 4: Simplify right side
    761,778x = 2,652,028,535,025
  5. Step 5: Solve for x
    x = 2,652,028,535,025/761,778
  6. Step 6: Final answer
    x = 3,481,366.66

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Why These Related Problems?

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