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Finding the Third Proportional to 620,416 and 995,412

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Solution

The third proportional to 620,416 and 995,412 is: 1,597,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,416 : 995,412 = 995,412 : x
  2. Step 2: Convert to fraction form
    620,416/995,412 = 995,412/x
  3. Step 3: Cross multiply
    620,416x = 995,412 × 995,412
  4. Step 4: Simplify right side
    620,416x = 990,845,049,744
  5. Step 5: Solve for x
    x = 990,845,049,744/620,416
  6. Step 6: Final answer
    x = 1,597,065.60

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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.