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Finding the Third Proportional to 957,575 and 1,422,797

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Solution

The third proportional to 957,575 and 1,422,797 is: 2,114,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,575 : 1,422,797 = 1,422,797 : x
  2. Step 2: Convert to fraction form
    957,575/1,422,797 = 1,422,797/x
  3. Step 3: Cross multiply
    957,575x = 1,422,797 × 1,422,797
  4. Step 4: Simplify right side
    957,575x = 2,024,351,303,209
  5. Step 5: Solve for x
    x = 2,024,351,303,209/957,575
  6. Step 6: Final answer
    x = 2,114,039.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.