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Finding the Third Proportional to 2,090,979 and 2,944,465.50

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Solution

The third proportional to 2,090,979 and 2,944,465.50 is: 4,146,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,979 : 2,944,465.50 = 2,944,465.50 : x
  2. Step 2: Convert to fraction form
    2,090,979/2,944,465.50 = 2,944,465.50/x
  3. Step 3: Cross multiply
    2,090,979x = 2,944,465.50 × 2,944,465.50
  4. Step 4: Simplify right side
    2,090,979x = 8,669,877,080,690.25
  5. Step 5: Solve for x
    x = 8,669,877,080,690.25/2,090,979
  6. Step 6: Final answer
    x = 4,146,324.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.