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Finding the Third Proportional to 1,346,850 and 2,907,351

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Solution

The third proportional to 1,346,850 and 2,907,351 is: 6,275,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,850 : 2,907,351 = 2,907,351 : x
  2. Step 2: Convert to fraction form
    1,346,850/2,907,351 = 2,907,351/x
  3. Step 3: Cross multiply
    1,346,850x = 2,907,351 × 2,907,351
  4. Step 4: Simplify right side
    1,346,850x = 8,452,689,837,201
  5. Step 5: Solve for x
    x = 8,452,689,837,201/1,346,850
  6. Step 6: Final answer
    x = 6,275,895.49

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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.