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Finding the Third Proportional to 458,588 and 949,576

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Solution

The third proportional to 458,588 and 949,576 is: 1,966,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,588 : 949,576 = 949,576 : x
  2. Step 2: Convert to fraction form
    458,588/949,576 = 949,576/x
  3. Step 3: Cross multiply
    458,588x = 949,576 × 949,576
  4. Step 4: Simplify right side
    458,588x = 901,694,579,776
  5. Step 5: Solve for x
    x = 901,694,579,776/458,588
  6. Step 6: Final answer
    x = 1,966,241.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.