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Finding the Third Proportional to 805,135.50 and 1,736,374.50

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Solution

The third proportional to 805,135.50 and 1,736,374.50 is: 3,744,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,135.50 : 1,736,374.50 = 1,736,374.50 : x
  2. Step 2: Convert to fraction form
    805,135.50/1,736,374.50 = 1,736,374.50/x
  3. Step 3: Cross multiply
    805,135.50x = 1,736,374.50 × 1,736,374.50
  4. Step 4: Simplify right side
    805,135.50x = 3,014,996,404,250.25
  5. Step 5: Solve for x
    x = 3,014,996,404,250.25/805,135.50
  6. Step 6: Final answer
    x = 3,744,706.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.