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Finding the Third Proportional to 770,684 and 1,186,037

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Solution

The third proportional to 770,684 and 1,186,037 is: 1,825,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,684 : 1,186,037 = 1,186,037 : x
  2. Step 2: Convert to fraction form
    770,684/1,186,037 = 1,186,037/x
  3. Step 3: Cross multiply
    770,684x = 1,186,037 × 1,186,037
  4. Step 4: Simplify right side
    770,684x = 1,406,683,765,369
  5. Step 5: Solve for x
    x = 1,406,683,765,369/770,684
  6. Step 6: Final answer
    x = 1,825,240.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.