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Finding the Third Proportional to 812,684 and 1,216,083

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Solution

The third proportional to 812,684 and 1,216,083 is: 1,819,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,684 : 1,216,083 = 1,216,083 : x
  2. Step 2: Convert to fraction form
    812,684/1,216,083 = 1,216,083/x
  3. Step 3: Cross multiply
    812,684x = 1,216,083 × 1,216,083
  4. Step 4: Simplify right side
    812,684x = 1,478,857,862,889
  5. Step 5: Solve for x
    x = 1,478,857,862,889/812,684
  6. Step 6: Final answer
    x = 1,819,720.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.