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Finding the Third Proportional to 760,474.83 and 1,184,361.12

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Solution

The third proportional to 760,474.83 and 1,184,361.12 is: 1,844,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,474.83 : 1,184,361.12 = 1,184,361.12 : x
  2. Step 2: Convert to fraction form
    760,474.83/1,184,361.12 = 1,184,361.12/x
  3. Step 3: Cross multiply
    760,474.83x = 1,184,361.12 × 1,184,361.12
  4. Step 4: Simplify right side
    760,474.83x = 1,402,711,255,905.62
  5. Step 5: Solve for x
    x = 1,402,711,255,905.62/760,474.83
  6. Step 6: Final answer
    x = 1,844,520.30

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Why These Related Problems?

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