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Finding the Third Proportional to 477,998,298 and 1,028,638,032

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Solution

The third proportional to 477,998,298 and 1,028,638,032 is: 2,213,598,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,998,298 : 1,028,638,032 = 1,028,638,032 : x
  2. Step 2: Convert to fraction form
    477,998,298/1,028,638,032 = 1,028,638,032/x
  3. Step 3: Cross multiply
    477,998,298x = 1,028,638,032 × 1,028,638,032
  4. Step 4: Simplify right side
    477,998,298x = 1,058,096,200,876,833,024
  5. Step 5: Solve for x
    x = 1,058,096,200,876,833,024/477,998,298
  6. Step 6: Final answer
    x = 2,213,598,260.30

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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.