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Finding the Third Proportional to 654,604,381.75 and 980,949,019

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Solution

The third proportional to 654,604,381.75 and 980,949,019 is: 1,469,988,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,604,381.75 : 980,949,019 = 980,949,019 : x
  2. Step 2: Convert to fraction form
    654,604,381.75/980,949,019 = 980,949,019/x
  3. Step 3: Cross multiply
    654,604,381.75x = 980,949,019 × 980,949,019
  4. Step 4: Simplify right side
    654,604,381.75x = 962,260,977,877,062,400
  5. Step 5: Solve for x
    x = 962,260,977,877,062,400/654,604,381.75
  6. Step 6: Final answer
    x = 1,469,988,598.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.