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Finding the Third Proportional to 797,529 and 1,750,078.50

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Solution

The third proportional to 797,529 and 1,750,078.50 is: 3,840,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,529 : 1,750,078.50 = 1,750,078.50 : x
  2. Step 2: Convert to fraction form
    797,529/1,750,078.50 = 1,750,078.50/x
  3. Step 3: Cross multiply
    797,529x = 1,750,078.50 × 1,750,078.50
  4. Step 4: Simplify right side
    797,529x = 3,062,774,756,162.25
  5. Step 5: Solve for x
    x = 3,062,774,756,162.25/797,529
  6. Step 6: Final answer
    x = 3,840,330.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.