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Finding the Third Proportional to 917,382 and 2,072,600

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Solution

The third proportional to 917,382 and 2,072,600 is: 4,682,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,382 : 2,072,600 = 2,072,600 : x
  2. Step 2: Convert to fraction form
    917,382/2,072,600 = 2,072,600/x
  3. Step 3: Cross multiply
    917,382x = 2,072,600 × 2,072,600
  4. Step 4: Simplify right side
    917,382x = 4,295,670,760,000
  5. Step 5: Solve for x
    x = 4,295,670,760,000/917,382
  6. Step 6: Final answer
    x = 4,682,532.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.