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Finding the Third Proportional to 970,994 and 1,980,544

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Solution

The third proportional to 970,994 and 1,980,544 is: 4,039,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,994 : 1,980,544 = 1,980,544 : x
  2. Step 2: Convert to fraction form
    970,994/1,980,544 = 1,980,544/x
  3. Step 3: Cross multiply
    970,994x = 1,980,544 × 1,980,544
  4. Step 4: Simplify right side
    970,994x = 3,922,554,535,936
  5. Step 5: Solve for x
    x = 3,922,554,535,936/970,994
  6. Step 6: Final answer
    x = 4,039,730.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.