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Finding the Third Proportional to 1,931,298 and 4,157,112

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Solution

The third proportional to 1,931,298 and 4,157,112 is: 8,948,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,298 : 4,157,112 = 4,157,112 : x
  2. Step 2: Convert to fraction form
    1,931,298/4,157,112 = 4,157,112/x
  3. Step 3: Cross multiply
    1,931,298x = 4,157,112 × 4,157,112
  4. Step 4: Simplify right side
    1,931,298x = 17,281,580,180,544
  5. Step 5: Solve for x
    x = 17,281,580,180,544/1,931,298
  6. Step 6: Final answer
    x = 8,948,168.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.