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Finding the Third Proportional to 594,757,952 and 1,288,346,272

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Solution

The third proportional to 594,757,952 and 1,288,346,272 is: 2,790,775,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,757,952 : 1,288,346,272 = 1,288,346,272 : x
  2. Step 2: Convert to fraction form
    594,757,952/1,288,346,272 = 1,288,346,272/x
  3. Step 3: Cross multiply
    594,757,952x = 1,288,346,272 × 1,288,346,272
  4. Step 4: Simplify right side
    594,757,952x = 1,659,836,116,576,297,984
  5. Step 5: Solve for x
    x = 1,659,836,116,576,297,984/594,757,952
  6. Step 6: Final answer
    x = 2,790,775,829.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.