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Finding the Third Proportional to 2,441,846 and 3,592,153

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Solution

The third proportional to 2,441,846 and 3,592,153 is: 5,284,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441,846 : 3,592,153 = 3,592,153 : x
  2. Step 2: Convert to fraction form
    2,441,846/3,592,153 = 3,592,153/x
  3. Step 3: Cross multiply
    2,441,846x = 3,592,153 × 3,592,153
  4. Step 4: Simplify right side
    2,441,846x = 12,903,563,175,409
  5. Step 5: Solve for x
    x = 12,903,563,175,409/2,441,846
  6. Step 6: Final answer
    x = 5,284,347.65

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Why These Related Problems?

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