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Finding the Third Proportional to 645,830 and 995,997

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Solution

The third proportional to 645,830 and 995,997 is: 1,536,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,830 : 995,997 = 995,997 : x
  2. Step 2: Convert to fraction form
    645,830/995,997 = 995,997/x
  3. Step 3: Cross multiply
    645,830x = 995,997 × 995,997
  4. Step 4: Simplify right side
    645,830x = 992,010,024,009
  5. Step 5: Solve for x
    x = 992,010,024,009/645,830
  6. Step 6: Final answer
    x = 1,536,023.45

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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.