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Finding the Third Proportional to 1,184,716 and 1,692,966

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Solution

The third proportional to 1,184,716 and 1,692,966 is: 2,419,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,716 : 1,692,966 = 1,692,966 : x
  2. Step 2: Convert to fraction form
    1,184,716/1,692,966 = 1,692,966/x
  3. Step 3: Cross multiply
    1,184,716x = 1,692,966 × 1,692,966
  4. Step 4: Simplify right side
    1,184,716x = 2,866,133,877,156
  5. Step 5: Solve for x
    x = 2,866,133,877,156/1,184,716
  6. Step 6: Final answer
    x = 2,419,258.18

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.