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Finding the Third Proportional to 628,301,998 and 1,012,361,892

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Solution

The third proportional to 628,301,998 and 1,012,361,892 is: 1,631,184,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,301,998 : 1,012,361,892 = 1,012,361,892 : x
  2. Step 2: Convert to fraction form
    628,301,998/1,012,361,892 = 1,012,361,892/x
  3. Step 3: Cross multiply
    628,301,998x = 1,012,361,892 × 1,012,361,892
  4. Step 4: Simplify right side
    628,301,998x = 1,024,876,600,373,819,648
  5. Step 5: Solve for x
    x = 1,024,876,600,373,819,648/628,301,998
  6. Step 6: Final answer
    x = 1,631,184,690.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.