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Finding the Third Proportional to 2,065,008 and 4,428,947

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Solution

The third proportional to 2,065,008 and 4,428,947 is: 9,499,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,008 : 4,428,947 = 4,428,947 : x
  2. Step 2: Convert to fraction form
    2,065,008/4,428,947 = 4,428,947/x
  3. Step 3: Cross multiply
    2,065,008x = 4,428,947 × 4,428,947
  4. Step 4: Simplify right side
    2,065,008x = 19,615,571,528,809
  5. Step 5: Solve for x
    x = 19,615,571,528,809/2,065,008
  6. Step 6: Final answer
    x = 9,499,029.32

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