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Finding the Third Proportional to 957,449 and 2,074,461

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Solution

The third proportional to 957,449 and 2,074,461 is: 4,494,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,449 : 2,074,461 = 2,074,461 : x
  2. Step 2: Convert to fraction form
    957,449/2,074,461 = 2,074,461/x
  3. Step 3: Cross multiply
    957,449x = 2,074,461 × 2,074,461
  4. Step 4: Simplify right side
    957,449x = 4,303,388,440,521
  5. Step 5: Solve for x
    x = 4,303,388,440,521/957,449
  6. Step 6: Final answer
    x = 4,494,639.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.