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Finding the Third Proportional to 618,516 and 933,918

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Solution

The third proportional to 618,516 and 933,918 is: 1,410,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,516 : 933,918 = 933,918 : x
  2. Step 2: Convert to fraction form
    618,516/933,918 = 933,918/x
  3. Step 3: Cross multiply
    618,516x = 933,918 × 933,918
  4. Step 4: Simplify right side
    618,516x = 872,202,830,724
  5. Step 5: Solve for x
    x = 872,202,830,724/618,516
  6. Step 6: Final answer
    x = 1,410,154.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.