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Finding the Third Proportional to 680,106 and 1,489,487

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Solution

The third proportional to 680,106 and 1,489,487 is: 3,262,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,106 : 1,489,487 = 1,489,487 : x
  2. Step 2: Convert to fraction form
    680,106/1,489,487 = 1,489,487/x
  3. Step 3: Cross multiply
    680,106x = 1,489,487 × 1,489,487
  4. Step 4: Simplify right side
    680,106x = 2,218,571,523,169
  5. Step 5: Solve for x
    x = 2,218,571,523,169/680,106
  6. Step 6: Final answer
    x = 3,262,096.68

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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.