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Finding the Third Proportional to 965,016 and 2,038,896

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Solution

The third proportional to 965,016 and 2,038,896 is: 4,307,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,016 : 2,038,896 = 2,038,896 : x
  2. Step 2: Convert to fraction form
    965,016/2,038,896 = 2,038,896/x
  3. Step 3: Cross multiply
    965,016x = 2,038,896 × 2,038,896
  4. Step 4: Simplify right side
    965,016x = 4,157,096,898,816
  5. Step 5: Solve for x
    x = 4,157,096,898,816/965,016
  6. Step 6: Final answer
    x = 4,307,801.01

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.