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Finding the Third Proportional to 956,814 and 1,541,661

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Solution

The third proportional to 956,814 and 1,541,661 is: 2,483,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,814 : 1,541,661 = 1,541,661 : x
  2. Step 2: Convert to fraction form
    956,814/1,541,661 = 1,541,661/x
  3. Step 3: Cross multiply
    956,814x = 1,541,661 × 1,541,661
  4. Step 4: Simplify right side
    956,814x = 2,376,718,638,921
  5. Step 5: Solve for x
    x = 2,376,718,638,921/956,814
  6. Step 6: Final answer
    x = 2,483,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.