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Finding the Third Proportional to 610,504 and 933,972

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Solution

The third proportional to 610,504 and 933,972 is: 1,428,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,504 : 933,972 = 933,972 : x
  2. Step 2: Convert to fraction form
    610,504/933,972 = 933,972/x
  3. Step 3: Cross multiply
    610,504x = 933,972 × 933,972
  4. Step 4: Simplify right side
    610,504x = 872,303,696,784
  5. Step 5: Solve for x
    x = 872,303,696,784/610,504
  6. Step 6: Final answer
    x = 1,428,825.52

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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.