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Finding the Third Proportional to 594,920 and 1,159,951

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Solution

The third proportional to 594,920 and 1,159,951 is: 2,261,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,920 : 1,159,951 = 1,159,951 : x
  2. Step 2: Convert to fraction form
    594,920/1,159,951 = 1,159,951/x
  3. Step 3: Cross multiply
    594,920x = 1,159,951 × 1,159,951
  4. Step 4: Simplify right side
    594,920x = 1,345,486,322,401
  5. Step 5: Solve for x
    x = 1,345,486,322,401/594,920
  6. Step 6: Final answer
    x = 2,261,625.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.