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Finding the Third Proportional to 624,743,984.25 and 914,118,666.75

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Solution

The third proportional to 624,743,984.25 and 914,118,666.75 is: 1,337,528,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,743,984.25 : 914,118,666.75 = 914,118,666.75 : x
  2. Step 2: Convert to fraction form
    624,743,984.25/914,118,666.75 = 914,118,666.75/x
  3. Step 3: Cross multiply
    624,743,984.25x = 914,118,666.75 × 914,118,666.75
  4. Step 4: Simplify right side
    624,743,984.25x = 835,612,936,900,797,568
  5. Step 5: Solve for x
    x = 835,612,936,900,797,568/624,743,984.25
  6. Step 6: Final answer
    x = 1,337,528,584.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.