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Finding the Third Proportional to 1,143,824,376 and 1,714,199,832

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Solution

The third proportional to 1,143,824,376 and 1,714,199,832 is: 2,568,996,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,824,376 : 1,714,199,832 = 1,714,199,832 : x
  2. Step 2: Convert to fraction form
    1,143,824,376/1,714,199,832 = 1,714,199,832/x
  3. Step 3: Cross multiply
    1,143,824,376x = 1,714,199,832 × 1,714,199,832
  4. Step 4: Simplify right side
    1,143,824,376x = 2,938,481,064,028,828,160
  5. Step 5: Solve for x
    x = 2,938,481,064,028,828,160/1,143,824,376
  6. Step 6: Final answer
    x = 2,568,996,714.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.