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Finding the Third Proportional to 610,464 and 933,912

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Solution

The third proportional to 610,464 and 933,912 is: 1,428,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,464 : 933,912 = 933,912 : x
  2. Step 2: Convert to fraction form
    610,464/933,912 = 933,912/x
  3. Step 3: Cross multiply
    610,464x = 933,912 × 933,912
  4. Step 4: Simplify right side
    610,464x = 872,191,623,744
  5. Step 5: Solve for x
    x = 872,191,623,744/610,464
  6. Step 6: Final answer
    x = 1,428,735.56

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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.