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Finding the Third Proportional to 598,862 and 1,280,700

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Solution

The third proportional to 598,862 and 1,280,700 is: 2,738,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,862 : 1,280,700 = 1,280,700 : x
  2. Step 2: Convert to fraction form
    598,862/1,280,700 = 1,280,700/x
  3. Step 3: Cross multiply
    598,862x = 1,280,700 × 1,280,700
  4. Step 4: Simplify right side
    598,862x = 1,640,192,490,000
  5. Step 5: Solve for x
    x = 1,640,192,490,000/598,862
  6. Step 6: Final answer
    x = 2,738,848.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.