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Finding the Third Proportional to 584,200.13 and 1,214,838

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Solution

The third proportional to 584,200.13 and 1,214,838 is: 2,526,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,200.13 : 1,214,838 = 1,214,838 : x
  2. Step 2: Convert to fraction form
    584,200.13/1,214,838 = 1,214,838/x
  3. Step 3: Cross multiply
    584,200.13x = 1,214,838 × 1,214,838
  4. Step 4: Simplify right side
    584,200.13x = 1,475,831,366,244
  5. Step 5: Solve for x
    x = 1,475,831,366,244/584,200.13
  6. Step 6: Final answer
    x = 2,526,242.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.