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Finding the Third Proportional to 901,681 and 1,896,734

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Solution

The third proportional to 901,681 and 1,896,734 is: 3,989,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,681 : 1,896,734 = 1,896,734 : x
  2. Step 2: Convert to fraction form
    901,681/1,896,734 = 1,896,734/x
  3. Step 3: Cross multiply
    901,681x = 1,896,734 × 1,896,734
  4. Step 4: Simplify right side
    901,681x = 3,597,599,866,756
  5. Step 5: Solve for x
    x = 3,597,599,866,756/901,681
  6. Step 6: Final answer
    x = 3,989,880.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.