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Finding the Third Proportional to 933,256.69 and 1,483,947.84

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Solution

The third proportional to 933,256.69 and 1,483,947.84 is: 2,359,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,256.69 : 1,483,947.84 = 1,483,947.84 : x
  2. Step 2: Convert to fraction form
    933,256.69/1,483,947.84 = 1,483,947.84/x
  3. Step 3: Cross multiply
    933,256.69x = 1,483,947.84 × 1,483,947.84
  4. Step 4: Simplify right side
    933,256.69x = 2,202,101,202,970.27
  5. Step 5: Solve for x
    x = 2,202,101,202,970.27/933,256.69
  6. Step 6: Final answer
    x = 2,359,587.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.