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Finding the Third Proportional to 853,780 and 1,201,254

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Solution

The third proportional to 853,780 and 1,201,254 is: 1,690,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,780 : 1,201,254 = 1,201,254 : x
  2. Step 2: Convert to fraction form
    853,780/1,201,254 = 1,201,254/x
  3. Step 3: Cross multiply
    853,780x = 1,201,254 × 1,201,254
  4. Step 4: Simplify right side
    853,780x = 1,443,011,172,516
  5. Step 5: Solve for x
    x = 1,443,011,172,516/853,780
  6. Step 6: Final answer
    x = 1,690,144.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.