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Finding the Third Proportional to 946,242 and 2,102,436

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Solution

The third proportional to 946,242 and 2,102,436 is: 4,671,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,242 : 2,102,436 = 2,102,436 : x
  2. Step 2: Convert to fraction form
    946,242/2,102,436 = 2,102,436/x
  3. Step 3: Cross multiply
    946,242x = 2,102,436 × 2,102,436
  4. Step 4: Simplify right side
    946,242x = 4,420,237,134,096
  5. Step 5: Solve for x
    x = 4,420,237,134,096/946,242
  6. Step 6: Final answer
    x = 4,671,360.11

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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.