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Finding the Third Proportional to 584,878,347 and 1,284,553,782

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Solution

The third proportional to 584,878,347 and 1,284,553,782 is: 2,821,233,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,878,347 : 1,284,553,782 = 1,284,553,782 : x
  2. Step 2: Convert to fraction form
    584,878,347/1,284,553,782 = 1,284,553,782/x
  3. Step 3: Cross multiply
    584,878,347x = 1,284,553,782 × 1,284,553,782
  4. Step 4: Simplify right side
    584,878,347x = 1,650,078,418,850,503,424
  5. Step 5: Solve for x
    x = 1,650,078,418,850,503,424/584,878,347
  6. Step 6: Final answer
    x = 2,821,233,556.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.