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Finding the Third Proportional to 980,169 and 2,079,300

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Solution

The third proportional to 980,169 and 2,079,300 is: 4,410,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,169 : 2,079,300 = 2,079,300 : x
  2. Step 2: Convert to fraction form
    980,169/2,079,300 = 2,079,300/x
  3. Step 3: Cross multiply
    980,169x = 2,079,300 × 2,079,300
  4. Step 4: Simplify right side
    980,169x = 4,323,488,490,000
  5. Step 5: Solve for x
    x = 4,323,488,490,000/980,169
  6. Step 6: Final answer
    x = 4,410,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.