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Finding the Third Proportional to 2,645,469 and 3,725,420.63

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Solution

The third proportional to 2,645,469 and 3,725,420.63 is: 5,246,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,469 : 3,725,420.63 = 3,725,420.63 : x
  2. Step 2: Convert to fraction form
    2,645,469/3,725,420.63 = 3,725,420.63/x
  3. Step 3: Cross multiply
    2,645,469x = 3,725,420.63 × 3,725,420.63
  4. Step 4: Simplify right side
    2,645,469x = 13,878,758,833,175.39
  5. Step 5: Solve for x
    x = 13,878,758,833,175.39/2,645,469
  6. Step 6: Final answer
    x = 5,246,237.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.