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Finding the Third Proportional to 596,918,360 and 1,284,535,984

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Solution

The third proportional to 596,918,360 and 1,284,535,984 is: 2,764,251,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,918,360 : 1,284,535,984 = 1,284,535,984 : x
  2. Step 2: Convert to fraction form
    596,918,360/1,284,535,984 = 1,284,535,984/x
  3. Step 3: Cross multiply
    596,918,360x = 1,284,535,984 × 1,284,535,984
  4. Step 4: Simplify right side
    596,918,360x = 1,650,032,694,190,848,256
  5. Step 5: Solve for x
    x = 1,650,032,694,190,848,256/596,918,360
  6. Step 6: Final answer
    x = 2,764,251,872.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.