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Finding the Third Proportional to 2,065,006 and 4,428,943

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Solution

The third proportional to 2,065,006 and 4,428,943 is: 9,499,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,006 : 4,428,943 = 4,428,943 : x
  2. Step 2: Convert to fraction form
    2,065,006/4,428,943 = 4,428,943/x
  3. Step 3: Cross multiply
    2,065,006x = 4,428,943 × 4,428,943
  4. Step 4: Simplify right side
    2,065,006x = 19,615,536,097,249
  5. Step 5: Solve for x
    x = 19,615,536,097,249/2,065,006
  6. Step 6: Final answer
    x = 9,499,021.36

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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.