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Finding the Third Proportional to 863,496 and 1,832,220

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Solution

The third proportional to 863,496 and 1,832,220 is: 3,887,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,496 : 1,832,220 = 1,832,220 : x
  2. Step 2: Convert to fraction form
    863,496/1,832,220 = 1,832,220/x
  3. Step 3: Cross multiply
    863,496x = 1,832,220 × 1,832,220
  4. Step 4: Simplify right side
    863,496x = 3,357,030,128,400
  5. Step 5: Solve for x
    x = 3,357,030,128,400/863,496
  6. Step 6: Final answer
    x = 3,887,719.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.