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Finding the Third Proportional to 827,720 and 1,814,416

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Solution

The third proportional to 827,720 and 1,814,416 is: 3,977,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,720 : 1,814,416 = 1,814,416 : x
  2. Step 2: Convert to fraction form
    827,720/1,814,416 = 1,814,416/x
  3. Step 3: Cross multiply
    827,720x = 1,814,416 × 1,814,416
  4. Step 4: Simplify right side
    827,720x = 3,292,105,421,056
  5. Step 5: Solve for x
    x = 3,292,105,421,056/827,720
  6. Step 6: Final answer
    x = 3,977,317.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.