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Finding the Third Proportional to 741,453 and 1,535,376

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Solution

The third proportional to 741,453 and 1,535,376 is: 3,179,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,453 : 1,535,376 = 1,535,376 : x
  2. Step 2: Convert to fraction form
    741,453/1,535,376 = 1,535,376/x
  3. Step 3: Cross multiply
    741,453x = 1,535,376 × 1,535,376
  4. Step 4: Simplify right side
    741,453x = 2,357,379,461,376
  5. Step 5: Solve for x
    x = 2,357,379,461,376/741,453
  6. Step 6: Final answer
    x = 3,179,405.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.