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Finding the Third Proportional to 946,356 and 2,052,432

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Solution

The third proportional to 946,356 and 2,052,432 is: 4,451,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,356 : 2,052,432 = 2,052,432 : x
  2. Step 2: Convert to fraction form
    946,356/2,052,432 = 2,052,432/x
  3. Step 3: Cross multiply
    946,356x = 2,052,432 × 2,052,432
  4. Step 4: Simplify right side
    946,356x = 4,212,477,114,624
  5. Step 5: Solve for x
    x = 4,212,477,114,624/946,356
  6. Step 6: Final answer
    x = 4,451,260.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.