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Finding the Third Proportional to 1,333,398 and 2,118,201

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Solution

The third proportional to 1,333,398 and 2,118,201 is: 3,364,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,398 : 2,118,201 = 2,118,201 : x
  2. Step 2: Convert to fraction form
    1,333,398/2,118,201 = 2,118,201/x
  3. Step 3: Cross multiply
    1,333,398x = 2,118,201 × 2,118,201
  4. Step 4: Simplify right side
    1,333,398x = 4,486,775,476,401
  5. Step 5: Solve for x
    x = 4,486,775,476,401/1,333,398
  6. Step 6: Final answer
    x = 3,364,918.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.