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Finding the Third Proportional to 770,086 and 1,197,017

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Solution

The third proportional to 770,086 and 1,197,017 is: 1,860,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,086 : 1,197,017 = 1,197,017 : x
  2. Step 2: Convert to fraction form
    770,086/1,197,017 = 1,197,017/x
  3. Step 3: Cross multiply
    770,086x = 1,197,017 × 1,197,017
  4. Step 4: Simplify right side
    770,086x = 1,432,849,698,289
  5. Step 5: Solve for x
    x = 1,432,849,698,289/770,086
  6. Step 6: Final answer
    x = 1,860,635.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.