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Finding the Third Proportional to 596,918,358 and 1,284,535,980

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Solution

The third proportional to 596,918,358 and 1,284,535,980 is: 2,764,251,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,918,358 : 1,284,535,980 = 1,284,535,980 : x
  2. Step 2: Convert to fraction form
    596,918,358/1,284,535,980 = 1,284,535,980/x
  3. Step 3: Cross multiply
    596,918,358x = 1,284,535,980 × 1,284,535,980
  4. Step 4: Simplify right side
    596,918,358x = 1,650,032,683,914,560,512
  5. Step 5: Solve for x
    x = 1,650,032,683,914,560,512/596,918,358
  6. Step 6: Final answer
    x = 2,764,251,864.26

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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.