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Finding the Third Proportional to 760,580 and 1,169,163

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Solution

The third proportional to 760,580 and 1,169,163 is: 1,797,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,580 : 1,169,163 = 1,169,163 : x
  2. Step 2: Convert to fraction form
    760,580/1,169,163 = 1,169,163/x
  3. Step 3: Cross multiply
    760,580x = 1,169,163 × 1,169,163
  4. Step 4: Simplify right side
    760,580x = 1,366,942,120,569
  5. Step 5: Solve for x
    x = 1,366,942,120,569/760,580
  6. Step 6: Final answer
    x = 1,797,236.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.