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Finding the Third Proportional to 584,992,872 and 1,190,416,032

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Solution

The third proportional to 584,992,872 and 1,190,416,032 is: 2,422,406,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,992,872 : 1,190,416,032 = 1,190,416,032 : x
  2. Step 2: Convert to fraction form
    584,992,872/1,190,416,032 = 1,190,416,032/x
  3. Step 3: Cross multiply
    584,992,872x = 1,190,416,032 × 1,190,416,032
  4. Step 4: Simplify right side
    584,992,872x = 1,417,090,329,242,625,024
  5. Step 5: Solve for x
    x = 1,417,090,329,242,625,024/584,992,872
  6. Step 6: Final answer
    x = 2,422,406,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.