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Finding the Third Proportional to 545,248 and 1,116,946

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Solution

The third proportional to 545,248 and 1,116,946 is: 2,288,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,248 : 1,116,946 = 1,116,946 : x
  2. Step 2: Convert to fraction form
    545,248/1,116,946 = 1,116,946/x
  3. Step 3: Cross multiply
    545,248x = 1,116,946 × 1,116,946
  4. Step 4: Simplify right side
    545,248x = 1,247,568,366,916
  5. Step 5: Solve for x
    x = 1,247,568,366,916/545,248
  6. Step 6: Final answer
    x = 2,288,075.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.