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Finding the Third Proportional to 689,330 and 1,506,676

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Solution

The third proportional to 689,330 and 1,506,676 is: 3,293,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,330 : 1,506,676 = 1,506,676 : x
  2. Step 2: Convert to fraction form
    689,330/1,506,676 = 1,506,676/x
  3. Step 3: Cross multiply
    689,330x = 1,506,676 × 1,506,676
  4. Step 4: Simplify right side
    689,330x = 2,270,072,568,976
  5. Step 5: Solve for x
    x = 2,270,072,568,976/689,330
  6. Step 6: Final answer
    x = 3,293,157.95

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