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Finding the Third Proportional to 602,910 and 933,129

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Solution

The third proportional to 602,910 and 933,129 is: 1,444,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,910 : 933,129 = 933,129 : x
  2. Step 2: Convert to fraction form
    602,910/933,129 = 933,129/x
  3. Step 3: Cross multiply
    602,910x = 933,129 × 933,129
  4. Step 4: Simplify right side
    602,910x = 870,729,730,641
  5. Step 5: Solve for x
    x = 870,729,730,641/602,910
  6. Step 6: Final answer
    x = 1,444,211.79

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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.