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Finding the Third Proportional to 536,461 and 996,842

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Solution

The third proportional to 536,461 and 996,842 is: 1,852,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,461 : 996,842 = 996,842 : x
  2. Step 2: Convert to fraction form
    536,461/996,842 = 996,842/x
  3. Step 3: Cross multiply
    536,461x = 996,842 × 996,842
  4. Step 4: Simplify right side
    536,461x = 993,693,972,964
  5. Step 5: Solve for x
    x = 993,693,972,964/536,461
  6. Step 6: Final answer
    x = 1,852,313.54

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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.