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Finding the Third Proportional to 610,548 and 933,954

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Solution

The third proportional to 610,548 and 933,954 is: 1,428,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,548 : 933,954 = 933,954 : x
  2. Step 2: Convert to fraction form
    610,548/933,954 = 933,954/x
  3. Step 3: Cross multiply
    610,548x = 933,954 × 933,954
  4. Step 4: Simplify right side
    610,548x = 872,270,074,116
  5. Step 5: Solve for x
    x = 872,270,074,116/610,548
  6. Step 6: Final answer
    x = 1,428,667.48

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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.