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Finding the Third Proportional to 1,275,449 and 2,775,091

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Solution

The third proportional to 1,275,449 and 2,775,091 is: 6,037,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,449 : 2,775,091 = 2,775,091 : x
  2. Step 2: Convert to fraction form
    1,275,449/2,775,091 = 2,775,091/x
  3. Step 3: Cross multiply
    1,275,449x = 2,775,091 × 2,775,091
  4. Step 4: Simplify right side
    1,275,449x = 7,701,130,058,281
  5. Step 5: Solve for x
    x = 7,701,130,058,281/1,275,449
  6. Step 6: Final answer
    x = 6,037,975.69

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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.