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Finding the Third Proportional to 648,168 and 933,710

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Solution

The third proportional to 648,168 and 933,710 is: 1,345,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,168 : 933,710 = 933,710 : x
  2. Step 2: Convert to fraction form
    648,168/933,710 = 933,710/x
  3. Step 3: Cross multiply
    648,168x = 933,710 × 933,710
  4. Step 4: Simplify right side
    648,168x = 871,814,364,100
  5. Step 5: Solve for x
    x = 871,814,364,100/648,168
  6. Step 6: Final answer
    x = 1,345,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.