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Finding the Third Proportional to 993,224 and 1,537,616

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Solution

The third proportional to 993,224 and 1,537,616 is: 2,380,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,224 : 1,537,616 = 1,537,616 : x
  2. Step 2: Convert to fraction form
    993,224/1,537,616 = 1,537,616/x
  3. Step 3: Cross multiply
    993,224x = 1,537,616 × 1,537,616
  4. Step 4: Simplify right side
    993,224x = 2,364,262,963,456
  5. Step 5: Solve for x
    x = 2,364,262,963,456/993,224
  6. Step 6: Final answer
    x = 2,380,392.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.