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Finding the Third Proportional to 454,242 and 955,566

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Solution

The third proportional to 454,242 and 955,566 is: 2,010,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,242 : 955,566 = 955,566 : x
  2. Step 2: Convert to fraction form
    454,242/955,566 = 955,566/x
  3. Step 3: Cross multiply
    454,242x = 955,566 × 955,566
  4. Step 4: Simplify right side
    454,242x = 913,106,380,356
  5. Step 5: Solve for x
    x = 913,106,380,356/454,242
  6. Step 6: Final answer
    x = 2,010,176.03

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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.