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Finding the Third Proportional to 430,632 and 942,912

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Solution

The third proportional to 430,632 and 942,912 is: 2,064,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,632 : 942,912 = 942,912 : x
  2. Step 2: Convert to fraction form
    430,632/942,912 = 942,912/x
  3. Step 3: Cross multiply
    430,632x = 942,912 × 942,912
  4. Step 4: Simplify right side
    430,632x = 889,083,039,744
  5. Step 5: Solve for x
    x = 889,083,039,744/430,632
  6. Step 6: Final answer
    x = 2,064,600.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.