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Finding the Third Proportional to 827,724 and 1,537,296

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Solution

The third proportional to 827,724 and 1,537,296 is: 2,855,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,724 : 1,537,296 = 1,537,296 : x
  2. Step 2: Convert to fraction form
    827,724/1,537,296 = 1,537,296/x
  3. Step 3: Cross multiply
    827,724x = 1,537,296 × 1,537,296
  4. Step 4: Simplify right side
    827,724x = 2,363,278,991,616
  5. Step 5: Solve for x
    x = 2,363,278,991,616/827,724
  6. Step 6: Final answer
    x = 2,855,153.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.