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Finding the Third Proportional to 783,752 and 1,176,684

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Solution

The third proportional to 783,752 and 1,176,684 is: 1,766,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,752 : 1,176,684 = 1,176,684 : x
  2. Step 2: Convert to fraction form
    783,752/1,176,684 = 1,176,684/x
  3. Step 3: Cross multiply
    783,752x = 1,176,684 × 1,176,684
  4. Step 4: Simplify right side
    783,752x = 1,384,585,235,856
  5. Step 5: Solve for x
    x = 1,384,585,235,856/783,752
  6. Step 6: Final answer
    x = 1,766,611.42

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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.