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Finding the Third Proportional to 459,366,948 and 1,008,015,732

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Solution

The third proportional to 459,366,948 and 1,008,015,732 is: 2,211,947,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,948 : 1,008,015,732 = 1,008,015,732 : x
  2. Step 2: Convert to fraction form
    459,366,948/1,008,015,732 = 1,008,015,732/x
  3. Step 3: Cross multiply
    459,366,948x = 1,008,015,732 × 1,008,015,732
  4. Step 4: Simplify right side
    459,366,948x = 1,016,095,715,959,495,808
  5. Step 5: Solve for x
    x = 1,016,095,715,959,495,808/459,366,948
  6. Step 6: Final answer
    x = 2,211,947,812.93

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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.