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Finding the Third Proportional to 1,597,996 and 3,423,440

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Solution

The third proportional to 1,597,996 and 3,423,440 is: 7,334,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,996 : 3,423,440 = 3,423,440 : x
  2. Step 2: Convert to fraction form
    1,597,996/3,423,440 = 3,423,440/x
  3. Step 3: Cross multiply
    1,597,996x = 3,423,440 × 3,423,440
  4. Step 4: Simplify right side
    1,597,996x = 11,719,941,433,600
  5. Step 5: Solve for x
    x = 11,719,941,433,600/1,597,996
  6. Step 6: Final answer
    x = 7,334,149.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.