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Finding the Third Proportional to 662,643 and 1,441,278

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Solution

The third proportional to 662,643 and 1,441,278 is: 3,134,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,643 : 1,441,278 = 1,441,278 : x
  2. Step 2: Convert to fraction form
    662,643/1,441,278 = 1,441,278/x
  3. Step 3: Cross multiply
    662,643x = 1,441,278 × 1,441,278
  4. Step 4: Simplify right side
    662,643x = 2,077,282,273,284
  5. Step 5: Solve for x
    x = 2,077,282,273,284/662,643
  6. Step 6: Final answer
    x = 3,134,843.76

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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.