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Finding the Third Proportional to 1,309,851 and 2,850,354

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Solution

The third proportional to 1,309,851 and 2,850,354 is: 6,202,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,851 : 2,850,354 = 2,850,354 : x
  2. Step 2: Convert to fraction form
    1,309,851/2,850,354 = 2,850,354/x
  3. Step 3: Cross multiply
    1,309,851x = 2,850,354 × 2,850,354
  4. Step 4: Simplify right side
    1,309,851x = 8,124,517,925,316
  5. Step 5: Solve for x
    x = 8,124,517,925,316/1,309,851
  6. Step 6: Final answer
    x = 6,202,627.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.