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Finding the Third Proportional to 1,035,346,504 and 1,456,284,012

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Solution

The third proportional to 1,035,346,504 and 1,456,284,012 is: 2,048,360,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,346,504 : 1,456,284,012 = 1,456,284,012 : x
  2. Step 2: Convert to fraction form
    1,035,346,504/1,456,284,012 = 1,456,284,012/x
  3. Step 3: Cross multiply
    1,035,346,504x = 1,456,284,012 × 1,456,284,012
  4. Step 4: Simplify right side
    1,035,346,504x = 2,120,763,123,606,816,256
  5. Step 5: Solve for x
    x = 2,120,763,123,606,816,256/1,035,346,504
  6. Step 6: Final answer
    x = 2,048,360,732.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.