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Finding the Third Proportional to 432,014 and 942,638

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Solution

The third proportional to 432,014 and 942,638 is: 2,056,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,014 : 942,638 = 942,638 : x
  2. Step 2: Convert to fraction form
    432,014/942,638 = 942,638/x
  3. Step 3: Cross multiply
    432,014x = 942,638 × 942,638
  4. Step 4: Simplify right side
    432,014x = 888,566,399,044
  5. Step 5: Solve for x
    x = 888,566,399,044/432,014
  6. Step 6: Final answer
    x = 2,056,800.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.