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Finding the Third Proportional to 3,455,634 and 4,651,968

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Solution

The third proportional to 3,455,634 and 4,651,968 is: 6,262,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455,634 : 4,651,968 = 4,651,968 : x
  2. Step 2: Convert to fraction form
    3,455,634/4,651,968 = 4,651,968/x
  3. Step 3: Cross multiply
    3,455,634x = 4,651,968 × 4,651,968
  4. Step 4: Simplify right side
    3,455,634x = 21,640,806,273,024
  5. Step 5: Solve for x
    x = 21,640,806,273,024/3,455,634
  6. Step 6: Final answer
    x = 6,262,470.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.