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Finding the Third Proportional to 965,778 and 2,099,476

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Solution

The third proportional to 965,778 and 2,099,476 is: 4,563,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,778 : 2,099,476 = 2,099,476 : x
  2. Step 2: Convert to fraction form
    965,778/2,099,476 = 2,099,476/x
  3. Step 3: Cross multiply
    965,778x = 2,099,476 × 2,099,476
  4. Step 4: Simplify right side
    965,778x = 4,407,799,474,576
  5. Step 5: Solve for x
    x = 4,407,799,474,576/965,778
  6. Step 6: Final answer
    x = 4,563,988.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.