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Finding the Third Proportional to 616,935 and 933,180

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Solution

The third proportional to 616,935 and 933,180 is: 1,411,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,935 : 933,180 = 933,180 : x
  2. Step 2: Convert to fraction form
    616,935/933,180 = 933,180/x
  3. Step 3: Cross multiply
    616,935x = 933,180 × 933,180
  4. Step 4: Simplify right side
    616,935x = 870,824,912,400
  5. Step 5: Solve for x
    x = 870,824,912,400/616,935
  6. Step 6: Final answer
    x = 1,411,534.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.