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Finding the Third Proportional to 770,049 and 1,197,076

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Solution

The third proportional to 770,049 and 1,197,076 is: 1,860,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,049 : 1,197,076 = 1,197,076 : x
  2. Step 2: Convert to fraction form
    770,049/1,197,076 = 1,197,076/x
  3. Step 3: Cross multiply
    770,049x = 1,197,076 × 1,197,076
  4. Step 4: Simplify right side
    770,049x = 1,432,990,949,776
  5. Step 5: Solve for x
    x = 1,432,990,949,776/770,049
  6. Step 6: Final answer
    x = 1,860,908.79

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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.