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Finding the Third Proportional to 536,466 and 996,852

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Solution

The third proportional to 536,466 and 996,852 is: 1,852,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,466 : 996,852 = 996,852 : x
  2. Step 2: Convert to fraction form
    536,466/996,852 = 996,852/x
  3. Step 3: Cross multiply
    536,466x = 996,852 × 996,852
  4. Step 4: Simplify right side
    536,466x = 993,713,909,904
  5. Step 5: Solve for x
    x = 993,713,909,904/536,466
  6. Step 6: Final answer
    x = 1,852,333.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.