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Finding the Third Proportional to 634,416.75 and 1,335,354.75

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Solution

The third proportional to 634,416.75 and 1,335,354.75 is: 2,810,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,416.75 : 1,335,354.75 = 1,335,354.75 : x
  2. Step 2: Convert to fraction form
    634,416.75/1,335,354.75 = 1,335,354.75/x
  3. Step 3: Cross multiply
    634,416.75x = 1,335,354.75 × 1,335,354.75
  4. Step 4: Simplify right side
    634,416.75x = 1,783,172,308,347.56
  5. Step 5: Solve for x
    x = 1,783,172,308,347.56/634,416.75
  6. Step 6: Final answer
    x = 2,810,727.03

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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.