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Finding the Third Proportional to 849,856.75 and 1,317,867.50

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Solution

The third proportional to 849,856.75 and 1,317,867.50 is: 2,043,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,856.75 : 1,317,867.50 = 1,317,867.50 : x
  2. Step 2: Convert to fraction form
    849,856.75/1,317,867.50 = 1,317,867.50/x
  3. Step 3: Cross multiply
    849,856.75x = 1,317,867.50 × 1,317,867.50
  4. Step 4: Simplify right side
    849,856.75x = 1,736,774,747,556.25
  5. Step 5: Solve for x
    x = 1,736,774,747,556.25/849,856.75
  6. Step 6: Final answer
    x = 2,043,608.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.