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Finding the Third Proportional to 459,366,972 and 1,008,015,778

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Solution

The third proportional to 459,366,972 and 1,008,015,778 is: 2,211,947,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,972 : 1,008,015,778 = 1,008,015,778 : x
  2. Step 2: Convert to fraction form
    459,366,972/1,008,015,778 = 1,008,015,778/x
  3. Step 3: Cross multiply
    459,366,972x = 1,008,015,778 × 1,008,015,778
  4. Step 4: Simplify right side
    459,366,972x = 1,016,095,808,696,945,280
  5. Step 5: Solve for x
    x = 1,016,095,808,696,945,280/459,366,972
  6. Step 6: Final answer
    x = 2,211,947,899.24

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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.