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Finding the Third Proportional to 1,916,564.81 and 4,099,055.06

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Solution

The third proportional to 1,916,564.81 and 4,099,055.06 is: 8,766,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,564.81 : 4,099,055.06 = 4,099,055.06 : x
  2. Step 2: Convert to fraction form
    1,916,564.81/4,099,055.06 = 4,099,055.06/x
  3. Step 3: Cross multiply
    1,916,564.81x = 4,099,055.06 × 4,099,055.06
  4. Step 4: Simplify right side
    1,916,564.81x = 16,802,252,405,406.88
  5. Step 5: Solve for x
    x = 16,802,252,405,406.88/1,916,564.81
  6. Step 6: Final answer
    x = 8,766,858.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.