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Finding the Third Proportional to 1,964,199 and 4,228,746

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Solution

The third proportional to 1,964,199 and 4,228,746 is: 9,104,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,199 : 4,228,746 = 4,228,746 : x
  2. Step 2: Convert to fraction form
    1,964,199/4,228,746 = 4,228,746/x
  3. Step 3: Cross multiply
    1,964,199x = 4,228,746 × 4,228,746
  4. Step 4: Simplify right side
    1,964,199x = 17,882,292,732,516
  5. Step 5: Solve for x
    x = 17,882,292,732,516/1,964,199
  6. Step 6: Final answer
    x = 9,104,114.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.