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Finding the Third Proportional to 492,588 and 1,063,758

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Solution

The third proportional to 492,588 and 1,063,758 is: 2,297,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,588 : 1,063,758 = 1,063,758 : x
  2. Step 2: Convert to fraction form
    492,588/1,063,758 = 1,063,758/x
  3. Step 3: Cross multiply
    492,588x = 1,063,758 × 1,063,758
  4. Step 4: Simplify right side
    492,588x = 1,131,581,082,564
  5. Step 5: Solve for x
    x = 1,131,581,082,564/492,588
  6. Step 6: Final answer
    x = 2,297,216.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.