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Finding the Third Proportional to 946,335 and 2,052,390

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Solution

The third proportional to 946,335 and 2,052,390 is: 4,451,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,335 : 2,052,390 = 2,052,390 : x
  2. Step 2: Convert to fraction form
    946,335/2,052,390 = 2,052,390/x
  3. Step 3: Cross multiply
    946,335x = 2,052,390 × 2,052,390
  4. Step 4: Simplify right side
    946,335x = 4,212,304,712,100
  5. Step 5: Solve for x
    x = 4,212,304,712,100/946,335
  6. Step 6: Final answer
    x = 4,451,177.13

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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.