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Finding the Third Proportional to 621,164 and 1,330,834

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Solution

The third proportional to 621,164 and 1,330,834 is: 2,851,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,164 : 1,330,834 = 1,330,834 : x
  2. Step 2: Convert to fraction form
    621,164/1,330,834 = 1,330,834/x
  3. Step 3: Cross multiply
    621,164x = 1,330,834 × 1,330,834
  4. Step 4: Simplify right side
    621,164x = 1,771,119,135,556
  5. Step 5: Solve for x
    x = 1,771,119,135,556/621,164
  6. Step 6: Final answer
    x = 2,851,290.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.