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Finding the Third Proportional to 602,914 and 933,135

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Solution

The third proportional to 602,914 and 933,135 is: 1,444,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,914 : 933,135 = 933,135 : x
  2. Step 2: Convert to fraction form
    602,914/933,135 = 933,135/x
  3. Step 3: Cross multiply
    602,914x = 933,135 × 933,135
  4. Step 4: Simplify right side
    602,914x = 870,740,928,225
  5. Step 5: Solve for x
    x = 870,740,928,225/602,914
  6. Step 6: Final answer
    x = 1,444,220.78

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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.