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Finding the Third Proportional to 874,328 and 1,312,300

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Solution

The third proportional to 874,328 and 1,312,300 is: 1,969,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,328 : 1,312,300 = 1,312,300 : x
  2. Step 2: Convert to fraction form
    874,328/1,312,300 = 1,312,300/x
  3. Step 3: Cross multiply
    874,328x = 1,312,300 × 1,312,300
  4. Step 4: Simplify right side
    874,328x = 1,722,131,290,000
  5. Step 5: Solve for x
    x = 1,722,131,290,000/874,328
  6. Step 6: Final answer
    x = 1,969,662.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.