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Finding the Third Proportional to 592,011 and 1,257,894

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Solution

The third proportional to 592,011 and 1,257,894 is: 2,672,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,011 : 1,257,894 = 1,257,894 : x
  2. Step 2: Convert to fraction form
    592,011/1,257,894 = 1,257,894/x
  3. Step 3: Cross multiply
    592,011x = 1,257,894 × 1,257,894
  4. Step 4: Simplify right side
    592,011x = 1,582,297,315,236
  5. Step 5: Solve for x
    x = 1,582,297,315,236/592,011
  6. Step 6: Final answer
    x = 2,672,749.86

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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.