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Finding the Third Proportional to 435,462 and 933,132

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Solution

The third proportional to 435,462 and 933,132 is: 1,999,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,462 : 933,132 = 933,132 : x
  2. Step 2: Convert to fraction form
    435,462/933,132 = 933,132/x
  3. Step 3: Cross multiply
    435,462x = 933,132 × 933,132
  4. Step 4: Simplify right side
    435,462x = 870,735,329,424
  5. Step 5: Solve for x
    x = 870,735,329,424/435,462
  6. Step 6: Final answer
    x = 1,999,566.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.