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Finding the Third Proportional to 760,580 and 1,629,134

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Solution

The third proportional to 760,580 and 1,629,134 is: 3,489,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,580 : 1,629,134 = 1,629,134 : x
  2. Step 2: Convert to fraction form
    760,580/1,629,134 = 1,629,134/x
  3. Step 3: Cross multiply
    760,580x = 1,629,134 × 1,629,134
  4. Step 4: Simplify right side
    760,580x = 2,654,077,589,956
  5. Step 5: Solve for x
    x = 2,654,077,589,956/760,580
  6. Step 6: Final answer
    x = 3,489,544.28

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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.