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Finding the Third Proportional to 770,084 and 1,197,014

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Solution

The third proportional to 770,084 and 1,197,014 is: 1,860,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,084 : 1,197,014 = 1,197,014 : x
  2. Step 2: Convert to fraction form
    770,084/1,197,014 = 1,197,014/x
  3. Step 3: Cross multiply
    770,084x = 1,197,014 × 1,197,014
  4. Step 4: Simplify right side
    770,084x = 1,432,842,516,196
  5. Step 5: Solve for x
    x = 1,432,842,516,196/770,084
  6. Step 6: Final answer
    x = 1,860,631.46

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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.