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Finding the Third Proportional to 901,914 and 1,878,456

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Solution

The third proportional to 901,914 and 1,878,456 is: 3,912,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,914 : 1,878,456 = 1,878,456 : x
  2. Step 2: Convert to fraction form
    901,914/1,878,456 = 1,878,456/x
  3. Step 3: Cross multiply
    901,914x = 1,878,456 × 1,878,456
  4. Step 4: Simplify right side
    901,914x = 3,528,596,943,936
  5. Step 5: Solve for x
    x = 3,528,596,943,936/901,914
  6. Step 6: Final answer
    x = 3,912,343.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.