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Finding the Third Proportional to 760,436 and 1,661,102

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Solution

The third proportional to 760,436 and 1,661,102 is: 3,628,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,436 : 1,661,102 = 1,661,102 : x
  2. Step 2: Convert to fraction form
    760,436/1,661,102 = 1,661,102/x
  3. Step 3: Cross multiply
    760,436x = 1,661,102 × 1,661,102
  4. Step 4: Simplify right side
    760,436x = 2,759,259,854,404
  5. Step 5: Solve for x
    x = 2,759,259,854,404/760,436
  6. Step 6: Final answer
    x = 3,628,523.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.