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Finding the Third Proportional to 683,638 and 1,490,290

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Solution

The third proportional to 683,638 and 1,490,290 is: 3,248,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,638 : 1,490,290 = 1,490,290 : x
  2. Step 2: Convert to fraction form
    683,638/1,490,290 = 1,490,290/x
  3. Step 3: Cross multiply
    683,638x = 1,490,290 × 1,490,290
  4. Step 4: Simplify right side
    683,638x = 2,220,964,284,100
  5. Step 5: Solve for x
    x = 2,220,964,284,100/683,638
  6. Step 6: Final answer
    x = 3,248,743.17

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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.