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Finding the Third Proportional to 933,072 and 1,399,365

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Solution

The third proportional to 933,072 and 1,399,365 is: 2,098,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,072 : 1,399,365 = 1,399,365 : x
  2. Step 2: Convert to fraction form
    933,072/1,399,365 = 1,399,365/x
  3. Step 3: Cross multiply
    933,072x = 1,399,365 × 1,399,365
  4. Step 4: Simplify right side
    933,072x = 1,958,222,403,225
  5. Step 5: Solve for x
    x = 1,958,222,403,225/933,072
  6. Step 6: Final answer
    x = 2,098,683.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.