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Finding the Third Proportional to 2,033,291 and 4,401,319

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Solution

The third proportional to 2,033,291 and 4,401,319 is: 9,527,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,291 : 4,401,319 = 4,401,319 : x
  2. Step 2: Convert to fraction form
    2,033,291/4,401,319 = 4,401,319/x
  3. Step 3: Cross multiply
    2,033,291x = 4,401,319 × 4,401,319
  4. Step 4: Simplify right side
    2,033,291x = 19,371,608,939,761
  5. Step 5: Solve for x
    x = 19,371,608,939,761/2,033,291
  6. Step 6: Final answer
    x = 9,527,219.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.