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Finding the Third Proportional to 796,506 and 1,261,845

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Solution

The third proportional to 796,506 and 1,261,845 is: 1,999,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,506 : 1,261,845 = 1,261,845 : x
  2. Step 2: Convert to fraction form
    796,506/1,261,845 = 1,261,845/x
  3. Step 3: Cross multiply
    796,506x = 1,261,845 × 1,261,845
  4. Step 4: Simplify right side
    796,506x = 1,592,252,804,025
  5. Step 5: Solve for x
    x = 1,592,252,804,025/796,506
  6. Step 6: Final answer
    x = 1,999,046.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.