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Finding the Third Proportional to 620,412 and 995,406

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Solution

The third proportional to 620,412 and 995,406 is: 1,597,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,412 : 995,406 = 995,406 : x
  2. Step 2: Convert to fraction form
    620,412/995,406 = 995,406/x
  3. Step 3: Cross multiply
    620,412x = 995,406 × 995,406
  4. Step 4: Simplify right side
    620,412x = 990,833,104,836
  5. Step 5: Solve for x
    x = 990,833,104,836/620,412
  6. Step 6: Final answer
    x = 1,597,056.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.