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Finding the Third Proportional to 760,954 and 1,179,904

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Solution

The third proportional to 760,954 and 1,179,904 is: 1,829,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,954 : 1,179,904 = 1,179,904 : x
  2. Step 2: Convert to fraction form
    760,954/1,179,904 = 1,179,904/x
  3. Step 3: Cross multiply
    760,954x = 1,179,904 × 1,179,904
  4. Step 4: Simplify right side
    760,954x = 1,392,173,449,216
  5. Step 5: Solve for x
    x = 1,392,173,449,216/760,954
  6. Step 6: Final answer
    x = 1,829,510.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.