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Finding the Third Proportional to 2,051,454 and 4,464,128

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Solution

The third proportional to 2,051,454 and 4,464,128 is: 9,714,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,454 : 4,464,128 = 4,464,128 : x
  2. Step 2: Convert to fraction form
    2,051,454/4,464,128 = 4,464,128/x
  3. Step 3: Cross multiply
    2,051,454x = 4,464,128 × 4,464,128
  4. Step 4: Simplify right side
    2,051,454x = 19,928,438,800,384
  5. Step 5: Solve for x
    x = 19,928,438,800,384/2,051,454
  6. Step 6: Final answer
    x = 9,714,299.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.