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Finding the Third Proportional to 2,097,467 and 3,174,558

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Solution

The third proportional to 2,097,467 and 3,174,558 is: 4,804,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,467 : 3,174,558 = 3,174,558 : x
  2. Step 2: Convert to fraction form
    2,097,467/3,174,558 = 3,174,558/x
  3. Step 3: Cross multiply
    2,097,467x = 3,174,558 × 3,174,558
  4. Step 4: Simplify right side
    2,097,467x = 10,077,818,495,364
  5. Step 5: Solve for x
    x = 10,077,818,495,364/2,097,467
  6. Step 6: Final answer
    x = 4,804,756.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.