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Finding the Third Proportional to 459,366,931 and 1,008,015,706

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Solution

The third proportional to 459,366,931 and 1,008,015,706 is: 2,211,947,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,931 : 1,008,015,706 = 1,008,015,706 : x
  2. Step 2: Convert to fraction form
    459,366,931/1,008,015,706 = 1,008,015,706/x
  3. Step 3: Cross multiply
    459,366,931x = 1,008,015,706 × 1,008,015,706
  4. Step 4: Simplify right side
    459,366,931x = 1,016,095,663,542,678,400
  5. Step 5: Solve for x
    x = 1,016,095,663,542,678,400/459,366,931
  6. Step 6: Final answer
    x = 2,211,947,780.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.