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Finding the Third Proportional to 299,420,730 and 655,282,422

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Solution

The third proportional to 299,420,730 and 655,282,422 is: 1,434,085,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420,730 : 655,282,422 = 655,282,422 : x
  2. Step 2: Convert to fraction form
    299,420,730/655,282,422 = 655,282,422/x
  3. Step 3: Cross multiply
    299,420,730x = 655,282,422 × 655,282,422
  4. Step 4: Simplify right side
    299,420,730x = 429,395,052,582,186,112
  5. Step 5: Solve for x
    x = 429,395,052,582,186,112/299,420,730
  6. Step 6: Final answer
    x = 1,434,085,918.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.