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Finding the Third Proportional to 602,906 and 933,119

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Solution

The third proportional to 602,906 and 933,119 is: 1,444,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,906 : 933,119 = 933,119 : x
  2. Step 2: Convert to fraction form
    602,906/933,119 = 933,119/x
  3. Step 3: Cross multiply
    602,906x = 933,119 × 933,119
  4. Step 4: Simplify right side
    602,906x = 870,711,068,161
  5. Step 5: Solve for x
    x = 870,711,068,161/602,906
  6. Step 6: Final answer
    x = 1,444,190.42

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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.