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Finding the Third Proportional to 1,426,322 and 2,972,164

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Solution

The third proportional to 1,426,322 and 2,972,164 is: 6,193,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,322 : 2,972,164 = 2,972,164 : x
  2. Step 2: Convert to fraction form
    1,426,322/2,972,164 = 2,972,164/x
  3. Step 3: Cross multiply
    1,426,322x = 2,972,164 × 2,972,164
  4. Step 4: Simplify right side
    1,426,322x = 8,833,758,842,896
  5. Step 5: Solve for x
    x = 8,833,758,842,896/1,426,322
  6. Step 6: Final answer
    x = 6,193,383.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.