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Finding the Third Proportional to 991,851 and 1,473,195

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Solution

The third proportional to 991,851 and 1,473,195 is: 2,188,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,851 : 1,473,195 = 1,473,195 : x
  2. Step 2: Convert to fraction form
    991,851/1,473,195 = 1,473,195/x
  3. Step 3: Cross multiply
    991,851x = 1,473,195 × 1,473,195
  4. Step 4: Simplify right side
    991,851x = 2,170,303,508,025
  5. Step 5: Solve for x
    x = 2,170,303,508,025/991,851
  6. Step 6: Final answer
    x = 2,188,134.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.