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Finding the Third Proportional to 2,099,115 and 4,347,594

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Solution

The third proportional to 2,099,115 and 4,347,594 is: 9,004,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,115 : 4,347,594 = 4,347,594 : x
  2. Step 2: Convert to fraction form
    2,099,115/4,347,594 = 4,347,594/x
  3. Step 3: Cross multiply
    2,099,115x = 4,347,594 × 4,347,594
  4. Step 4: Simplify right side
    2,099,115x = 18,901,573,588,836
  5. Step 5: Solve for x
    x = 18,901,573,588,836/2,099,115
  6. Step 6: Final answer
    x = 9,004,544.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.