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Finding the Third Proportional to 479,851 and 1,050,098

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Solution

The third proportional to 479,851 and 1,050,098 is: 2,298,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,851 : 1,050,098 = 1,050,098 : x
  2. Step 2: Convert to fraction form
    479,851/1,050,098 = 1,050,098/x
  3. Step 3: Cross multiply
    479,851x = 1,050,098 × 1,050,098
  4. Step 4: Simplify right side
    479,851x = 1,102,705,809,604
  5. Step 5: Solve for x
    x = 1,102,705,809,604/479,851
  6. Step 6: Final answer
    x = 2,298,017.11

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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.