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Finding the Third Proportional to 5,896,896 and 8,649,324

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Solution

The third proportional to 5,896,896 and 8,649,324 is: 12,686,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,896 : 8,649,324 = 8,649,324 : x
  2. Step 2: Convert to fraction form
    5,896,896/8,649,324 = 8,649,324/x
  3. Step 3: Cross multiply
    5,896,896x = 8,649,324 × 8,649,324
  4. Step 4: Simplify right side
    5,896,896x = 74,810,805,656,976
  5. Step 5: Solve for x
    x = 74,810,805,656,976/5,896,896
  6. Step 6: Final answer
    x = 12,686,471.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.