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Finding the Third Proportional to 760,716 and 1,184,694

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Solution

The third proportional to 760,716 and 1,184,694 is: 1,844,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,716 : 1,184,694 = 1,184,694 : x
  2. Step 2: Convert to fraction form
    760,716/1,184,694 = 1,184,694/x
  3. Step 3: Cross multiply
    760,716x = 1,184,694 × 1,184,694
  4. Step 4: Simplify right side
    760,716x = 1,403,499,873,636
  5. Step 5: Solve for x
    x = 1,403,499,873,636/760,716
  6. Step 6: Final answer
    x = 1,844,972.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.