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Finding the Third Proportional to 432,017 and 942,642

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Solution

The third proportional to 432,017 and 942,642 is: 2,056,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,017 : 942,642 = 942,642 : x
  2. Step 2: Convert to fraction form
    432,017/942,642 = 942,642/x
  3. Step 3: Cross multiply
    432,017x = 942,642 × 942,642
  4. Step 4: Simplify right side
    432,017x = 888,573,940,164
  5. Step 5: Solve for x
    x = 888,573,940,164/432,017
  6. Step 6: Final answer
    x = 2,056,803.18

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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.