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Finding the Third Proportional to 761,652 and 1,628,298

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Solution

The third proportional to 761,652 and 1,628,298 is: 3,481,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,652 : 1,628,298 = 1,628,298 : x
  2. Step 2: Convert to fraction form
    761,652/1,628,298 = 1,628,298/x
  3. Step 3: Cross multiply
    761,652x = 1,628,298 × 1,628,298
  4. Step 4: Simplify right side
    761,652x = 2,651,354,376,804
  5. Step 5: Solve for x
    x = 2,651,354,376,804/761,652
  6. Step 6: Final answer
    x = 3,481,057.46

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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.