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Finding the Third Proportional to 454,257 and 955,586

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Solution

The third proportional to 454,257 and 955,586 is: 2,010,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,257 : 955,586 = 955,586 : x
  2. Step 2: Convert to fraction form
    454,257/955,586 = 955,586/x
  3. Step 3: Cross multiply
    454,257x = 955,586 × 955,586
  4. Step 4: Simplify right side
    454,257x = 913,144,603,396
  5. Step 5: Solve for x
    x = 913,144,603,396/454,257
  6. Step 6: Final answer
    x = 2,010,193.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.