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Finding the Third Proportional to 1,197,216 and 2,660,153

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Solution

The third proportional to 1,197,216 and 2,660,153 is: 5,910,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,216 : 2,660,153 = 2,660,153 : x
  2. Step 2: Convert to fraction form
    1,197,216/2,660,153 = 2,660,153/x
  3. Step 3: Cross multiply
    1,197,216x = 2,660,153 × 2,660,153
  4. Step 4: Simplify right side
    1,197,216x = 7,076,413,983,409
  5. Step 5: Solve for x
    x = 7,076,413,983,409/1,197,216
  6. Step 6: Final answer
    x = 5,910,724.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.