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Finding the Third Proportional to 612,057 and 918,085.50

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Solution

The third proportional to 612,057 and 918,085.50 is: 1,377,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,057 : 918,085.50 = 918,085.50 : x
  2. Step 2: Convert to fraction form
    612,057/918,085.50 = 918,085.50/x
  3. Step 3: Cross multiply
    612,057x = 918,085.50 × 918,085.50
  4. Step 4: Simplify right side
    612,057x = 842,880,985,310.25
  5. Step 5: Solve for x
    x = 842,880,985,310.25/612,057
  6. Step 6: Final answer
    x = 1,377,128.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.