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Finding the Third Proportional to 902,416 and 1,983,312

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Solution

The third proportional to 902,416 and 1,983,312 is: 4,358,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,416 : 1,983,312 = 1,983,312 : x
  2. Step 2: Convert to fraction form
    902,416/1,983,312 = 1,983,312/x
  3. Step 3: Cross multiply
    902,416x = 1,983,312 × 1,983,312
  4. Step 4: Simplify right side
    902,416x = 3,933,526,489,344
  5. Step 5: Solve for x
    x = 3,933,526,489,344/902,416
  6. Step 6: Final answer
    x = 4,358,883.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.