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Finding the Third Proportional to 454,212 and 955,454

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Solution

The third proportional to 454,212 and 955,454 is: 2,009,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,212 : 955,454 = 955,454 : x
  2. Step 2: Convert to fraction form
    454,212/955,454 = 955,454/x
  3. Step 3: Cross multiply
    454,212x = 955,454 × 955,454
  4. Step 4: Simplify right side
    454,212x = 912,892,346,116
  5. Step 5: Solve for x
    x = 912,892,346,116/454,212
  6. Step 6: Final answer
    x = 2,009,837.58

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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.