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Finding the Third Proportional to 971,290 and 2,060,930

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Solution

The third proportional to 971,290 and 2,060,930 is: 4,372,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,290 : 2,060,930 = 2,060,930 : x
  2. Step 2: Convert to fraction form
    971,290/2,060,930 = 2,060,930/x
  3. Step 3: Cross multiply
    971,290x = 2,060,930 × 2,060,930
  4. Step 4: Simplify right side
    971,290x = 4,247,432,464,900
  5. Step 5: Solve for x
    x = 4,247,432,464,900/971,290
  6. Step 6: Final answer
    x = 4,372,980.74

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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.