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Finding the Third Proportional to 863,152 and 2,016,045

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Solution

The third proportional to 863,152 and 2,016,045 is: 4,708,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,152 : 2,016,045 = 2,016,045 : x
  2. Step 2: Convert to fraction form
    863,152/2,016,045 = 2,016,045/x
  3. Step 3: Cross multiply
    863,152x = 2,016,045 × 2,016,045
  4. Step 4: Simplify right side
    863,152x = 4,064,437,442,025
  5. Step 5: Solve for x
    x = 4,064,437,442,025/863,152
  6. Step 6: Final answer
    x = 4,708,831.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.