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Finding the Third Proportional to 662,996 and 1,451,376

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Solution

The third proportional to 662,996 and 1,451,376 is: 3,177,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,996 : 1,451,376 = 1,451,376 : x
  2. Step 2: Convert to fraction form
    662,996/1,451,376 = 1,451,376/x
  3. Step 3: Cross multiply
    662,996x = 1,451,376 × 1,451,376
  4. Step 4: Simplify right side
    662,996x = 2,106,492,293,376
  5. Step 5: Solve for x
    x = 2,106,492,293,376/662,996
  6. Step 6: Final answer
    x = 3,177,232.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.