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Finding the Third Proportional to 1,431,756 and 3,116,718

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Solution

The third proportional to 1,431,756 and 3,116,718 is: 6,784,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,756 : 3,116,718 = 3,116,718 : x
  2. Step 2: Convert to fraction form
    1,431,756/3,116,718 = 3,116,718/x
  3. Step 3: Cross multiply
    1,431,756x = 3,116,718 × 3,116,718
  4. Step 4: Simplify right side
    1,431,756x = 9,713,931,091,524
  5. Step 5: Solve for x
    x = 9,713,931,091,524/1,431,756
  6. Step 6: Final answer
    x = 6,784,627.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.