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Finding the Third Proportional to 493,672,557 and 1,028,206,098

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Solution

The third proportional to 493,672,557 and 1,028,206,098 is: 2,141,516,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672,557 : 1,028,206,098 = 1,028,206,098 : x
  2. Step 2: Convert to fraction form
    493,672,557/1,028,206,098 = 1,028,206,098/x
  3. Step 3: Cross multiply
    493,672,557x = 1,028,206,098 × 1,028,206,098
  4. Step 4: Simplify right side
    493,672,557x = 1,057,207,779,964,385,664
  5. Step 5: Solve for x
    x = 1,057,207,779,964,385,664/493,672,557
  6. Step 6: Final answer
    x = 2,141,516,203.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.