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Finding the Third Proportional to 648,165 and 933,705

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Solution

The third proportional to 648,165 and 933,705 is: 1,345,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,165 : 933,705 = 933,705 : x
  2. Step 2: Convert to fraction form
    648,165/933,705 = 933,705/x
  3. Step 3: Cross multiply
    648,165x = 933,705 × 933,705
  4. Step 4: Simplify right side
    648,165x = 871,805,027,025
  5. Step 5: Solve for x
    x = 871,805,027,025/648,165
  6. Step 6: Final answer
    x = 1,345,035.64

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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.