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Finding the Third Proportional to 492,616 and 1,063,820

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Solution

The third proportional to 492,616 and 1,063,820 is: 2,297,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,616 : 1,063,820 = 1,063,820 : x
  2. Step 2: Convert to fraction form
    492,616/1,063,820 = 1,063,820/x
  3. Step 3: Cross multiply
    492,616x = 1,063,820 × 1,063,820
  4. Step 4: Simplify right side
    492,616x = 1,131,712,992,400
  5. Step 5: Solve for x
    x = 1,131,712,992,400/492,616
  6. Step 6: Final answer
    x = 2,297,353.30

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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.