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Finding the Third Proportional to 1,200,102 and 2,624,373

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Solution

The third proportional to 1,200,102 and 2,624,373 is: 5,738,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,102 : 2,624,373 = 2,624,373 : x
  2. Step 2: Convert to fraction form
    1,200,102/2,624,373 = 2,624,373/x
  3. Step 3: Cross multiply
    1,200,102x = 2,624,373 × 2,624,373
  4. Step 4: Simplify right side
    1,200,102x = 6,887,333,643,129
  5. Step 5: Solve for x
    x = 6,887,333,643,129/1,200,102
  6. Step 6: Final answer
    x = 5,738,956.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.