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Finding the Third Proportional to 2,065,014 and 4,428,951.75

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Solution

The third proportional to 2,065,014 and 4,428,951.75 is: 9,499,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,014 : 4,428,951.75 = 4,428,951.75 : x
  2. Step 2: Convert to fraction form
    2,065,014/4,428,951.75 = 4,428,951.75/x
  3. Step 3: Cross multiply
    2,065,014x = 4,428,951.75 × 4,428,951.75
  4. Step 4: Simplify right side
    2,065,014x = 19,615,613,603,828.06
  5. Step 5: Solve for x
    x = 19,615,613,603,828.06/2,065,014
  6. Step 6: Final answer
    x = 9,499,022.09

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Why These Related Problems?

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