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Finding the Third Proportional to 706,117.50 and 1,449,444

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Solution

The third proportional to 706,117.50 and 1,449,444 is: 2,975,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,117.50 : 1,449,444 = 1,449,444 : x
  2. Step 2: Convert to fraction form
    706,117.50/1,449,444 = 1,449,444/x
  3. Step 3: Cross multiply
    706,117.50x = 1,449,444 × 1,449,444
  4. Step 4: Simplify right side
    706,117.50x = 2,100,887,909,136
  5. Step 5: Solve for x
    x = 2,100,887,909,136/706,117.50
  6. Step 6: Final answer
    x = 2,975,266.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.