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Finding the Third Proportional to 2,051,489 and 4,464,205

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Solution

The third proportional to 2,051,489 and 4,464,205 is: 9,714,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,489 : 4,464,205 = 4,464,205 : x
  2. Step 2: Convert to fraction form
    2,051,489/4,464,205 = 4,464,205/x
  3. Step 3: Cross multiply
    2,051,489x = 4,464,205 × 4,464,205
  4. Step 4: Simplify right side
    2,051,489x = 19,929,126,282,025
  5. Step 5: Solve for x
    x = 19,929,126,282,025/2,051,489
  6. Step 6: Final answer
    x = 9,714,468.99

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Why These Related Problems?

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