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Finding the Third Proportional to 426,804 and 933,960

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Solution

The third proportional to 426,804 and 933,960 is: 2,043,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,804 : 933,960 = 933,960 : x
  2. Step 2: Convert to fraction form
    426,804/933,960 = 933,960/x
  3. Step 3: Cross multiply
    426,804x = 933,960 × 933,960
  4. Step 4: Simplify right side
    426,804x = 872,281,281,600
  5. Step 5: Solve for x
    x = 872,281,281,600/426,804
  6. Step 6: Final answer
    x = 2,043,751.42

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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.