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Finding the Third Proportional to 1,384,444 and 2,024,106

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Solution

The third proportional to 1,384,444 and 2,024,106 is: 2,959,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,444 : 2,024,106 = 2,024,106 : x
  2. Step 2: Convert to fraction form
    1,384,444/2,024,106 = 2,024,106/x
  3. Step 3: Cross multiply
    1,384,444x = 2,024,106 × 2,024,106
  4. Step 4: Simplify right side
    1,384,444x = 4,097,005,099,236
  5. Step 5: Solve for x
    x = 4,097,005,099,236/1,384,444
  6. Step 6: Final answer
    x = 2,959,314.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.