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Finding the Third Proportional to 432,019 and 942,646

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Solution

The third proportional to 432,019 and 942,646 is: 2,056,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,019 : 942,646 = 942,646 : x
  2. Step 2: Convert to fraction form
    432,019/942,646 = 942,646/x
  3. Step 3: Cross multiply
    432,019x = 942,646 × 942,646
  4. Step 4: Simplify right side
    432,019x = 888,581,481,316
  5. Step 5: Solve for x
    x = 888,581,481,316/432,019
  6. Step 6: Final answer
    x = 2,056,811.12

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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.