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Finding the Third Proportional to 459,432,333 and 1,008,132,174

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Solution

The third proportional to 459,432,333 and 1,008,132,174 is: 2,212,144,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432,333 : 1,008,132,174 = 1,008,132,174 : x
  2. Step 2: Convert to fraction form
    459,432,333/1,008,132,174 = 1,008,132,174/x
  3. Step 3: Cross multiply
    459,432,333x = 1,008,132,174 × 1,008,132,174
  4. Step 4: Simplify right side
    459,432,333x = 1,016,330,480,253,966,336
  5. Step 5: Solve for x
    x = 1,016,330,480,253,966,336/459,432,333
  6. Step 6: Final answer
    x = 2,212,144,003.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.