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Finding the Third Proportional to 1,311,490 and 2,023,278

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Solution

The third proportional to 1,311,490 and 2,023,278 is: 3,121,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,490 : 2,023,278 = 2,023,278 : x
  2. Step 2: Convert to fraction form
    1,311,490/2,023,278 = 2,023,278/x
  3. Step 3: Cross multiply
    1,311,490x = 2,023,278 × 2,023,278
  4. Step 4: Simplify right side
    1,311,490x = 4,093,653,865,284
  5. Step 5: Solve for x
    x = 4,093,653,865,284/1,311,490
  6. Step 6: Final answer
    x = 3,121,376.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.