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Finding the Third Proportional to 1,994,034 and 4,348,963.50

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Solution

The third proportional to 1,994,034 and 4,348,963.50 is: 9,485,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,034 : 4,348,963.50 = 4,348,963.50 : x
  2. Step 2: Convert to fraction form
    1,994,034/4,348,963.50 = 4,348,963.50/x
  3. Step 3: Cross multiply
    1,994,034x = 4,348,963.50 × 4,348,963.50
  4. Step 4: Simplify right side
    1,994,034x = 18,913,483,524,332.25
  5. Step 5: Solve for x
    x = 18,913,483,524,332.25/1,994,034
  6. Step 6: Final answer
    x = 9,485,035.62

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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.