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Finding the Third Proportional to 1,343,365.25 and 2,838,344.50

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Solution

The third proportional to 1,343,365.25 and 2,838,344.50 is: 5,997,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,365.25 : 2,838,344.50 = 2,838,344.50 : x
  2. Step 2: Convert to fraction form
    1,343,365.25/2,838,344.50 = 2,838,344.50/x
  3. Step 3: Cross multiply
    1,343,365.25x = 2,838,344.50 × 2,838,344.50
  4. Step 4: Simplify right side
    1,343,365.25x = 8,056,199,500,680.25
  5. Step 5: Solve for x
    x = 8,056,199,500,680.25/1,343,365.25
  6. Step 6: Final answer
    x = 5,997,028.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.