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Finding the Third Proportional to 459,365,985 and 1,008,014,058

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Solution

The third proportional to 459,365,985 and 1,008,014,058 is: 2,211,945,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,365,985 : 1,008,014,058 = 1,008,014,058 : x
  2. Step 2: Convert to fraction form
    459,365,985/1,008,014,058 = 1,008,014,058/x
  3. Step 3: Cross multiply
    459,365,985x = 1,008,014,058 × 1,008,014,058
  4. Step 4: Simplify right side
    459,365,985x = 1,016,092,341,125,627,392
  5. Step 5: Solve for x
    x = 1,016,092,341,125,627,392/459,365,985
  6. Step 6: Final answer
    x = 2,211,945,103.26

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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.