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Finding the Third Proportional to 620,414 and 995,409

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Solution

The third proportional to 620,414 and 995,409 is: 1,597,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,414 : 995,409 = 995,409 : x
  2. Step 2: Convert to fraction form
    620,414/995,409 = 995,409/x
  3. Step 3: Cross multiply
    620,414x = 995,409 × 995,409
  4. Step 4: Simplify right side
    620,414x = 990,839,077,281
  5. Step 5: Solve for x
    x = 990,839,077,281/620,414
  6. Step 6: Final answer
    x = 1,597,061.12

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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.