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Finding the Third Proportional to 590,859 and 860,454

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Solution

The third proportional to 590,859 and 860,454 is: 1,253,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,859 : 860,454 = 860,454 : x
  2. Step 2: Convert to fraction form
    590,859/860,454 = 860,454/x
  3. Step 3: Cross multiply
    590,859x = 860,454 × 860,454
  4. Step 4: Simplify right side
    590,859x = 740,381,086,116
  5. Step 5: Solve for x
    x = 740,381,086,116/590,859
  6. Step 6: Final answer
    x = 1,253,058.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.