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Finding the Third Proportional to 3,920,868 and 5,996,646

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Solution

The third proportional to 3,920,868 and 5,996,646 is: 9,171,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920,868 : 5,996,646 = 5,996,646 : x
  2. Step 2: Convert to fraction form
    3,920,868/5,996,646 = 5,996,646/x
  3. Step 3: Cross multiply
    3,920,868x = 5,996,646 × 5,996,646
  4. Step 4: Simplify right side
    3,920,868x = 35,959,763,249,316
  5. Step 5: Solve for x
    x = 35,959,763,249,316/3,920,868
  6. Step 6: Final answer
    x = 9,171,378.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.