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Finding the Third Proportional to 432,034 and 942,664

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Solution

The third proportional to 432,034 and 942,664 is: 2,056,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,034 : 942,664 = 942,664 : x
  2. Step 2: Convert to fraction form
    432,034/942,664 = 942,664/x
  3. Step 3: Cross multiply
    432,034x = 942,664 × 942,664
  4. Step 4: Simplify right side
    432,034x = 888,615,416,896
  5. Step 5: Solve for x
    x = 888,615,416,896/432,034
  6. Step 6: Final answer
    x = 2,056,818.25

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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.