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Finding the Third Proportional to 792,977 and 1,186,000

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Solution

The third proportional to 792,977 and 1,186,000 is: 1,773,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,977 : 1,186,000 = 1,186,000 : x
  2. Step 2: Convert to fraction form
    792,977/1,186,000 = 1,186,000/x
  3. Step 3: Cross multiply
    792,977x = 1,186,000 × 1,186,000
  4. Step 4: Simplify right side
    792,977x = 1,406,596,000,000
  5. Step 5: Solve for x
    x = 1,406,596,000,000/792,977
  6. Step 6: Final answer
    x = 1,773,816.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.