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Finding the Third Proportional to 610,516 and 933,992

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Solution

The third proportional to 610,516 and 933,992 is: 1,428,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,516 : 933,992 = 933,992 : x
  2. Step 2: Convert to fraction form
    610,516/933,992 = 933,992/x
  3. Step 3: Cross multiply
    610,516x = 933,992 × 933,992
  4. Step 4: Simplify right side
    610,516x = 872,341,056,064
  5. Step 5: Solve for x
    x = 872,341,056,064/610,516
  6. Step 6: Final answer
    x = 1,428,858.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.