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Finding the Third Proportional to 785,875 and 1,183,398

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Solution

The third proportional to 785,875 and 1,183,398 is: 1,782,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,875 : 1,183,398 = 1,183,398 : x
  2. Step 2: Convert to fraction form
    785,875/1,183,398 = 1,183,398/x
  3. Step 3: Cross multiply
    785,875x = 1,183,398 × 1,183,398
  4. Step 4: Simplify right side
    785,875x = 1,400,430,826,404
  5. Step 5: Solve for x
    x = 1,400,430,826,404/785,875
  6. Step 6: Final answer
    x = 1,782,002.01

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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.