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Finding the Third Proportional to 957,822 and 1,440,756

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Solution

The third proportional to 957,822 and 1,440,756 is: 2,167,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,822 : 1,440,756 = 1,440,756 : x
  2. Step 2: Convert to fraction form
    957,822/1,440,756 = 1,440,756/x
  3. Step 3: Cross multiply
    957,822x = 1,440,756 × 1,440,756
  4. Step 4: Simplify right side
    957,822x = 2,075,777,851,536
  5. Step 5: Solve for x
    x = 2,075,777,851,536/957,822
  6. Step 6: Final answer
    x = 2,167,185.40

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Why These Related Problems?

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