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Finding the Third Proportional to 1,097,664 and 2,370,288

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Solution

The third proportional to 1,097,664 and 2,370,288 is: 5,118,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,664 : 2,370,288 = 2,370,288 : x
  2. Step 2: Convert to fraction form
    1,097,664/2,370,288 = 2,370,288/x
  3. Step 3: Cross multiply
    1,097,664x = 2,370,288 × 2,370,288
  4. Step 4: Simplify right side
    1,097,664x = 5,618,265,202,944
  5. Step 5: Solve for x
    x = 5,618,265,202,944/1,097,664
  6. Step 6: Final answer
    x = 5,118,383.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.