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Finding the Third Proportional to 645,822 and 995,984

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Solution

The third proportional to 645,822 and 995,984 is: 1,536,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,822 : 995,984 = 995,984 : x
  2. Step 2: Convert to fraction form
    645,822/995,984 = 995,984/x
  3. Step 3: Cross multiply
    645,822x = 995,984 × 995,984
  4. Step 4: Simplify right side
    645,822x = 991,984,128,256
  5. Step 5: Solve for x
    x = 991,984,128,256/645,822
  6. Step 6: Final answer
    x = 1,536,002.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.