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Finding the Third Proportional to 602,895 and 933,108

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Solution

The third proportional to 602,895 and 933,108 is: 1,444,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,895 : 933,108 = 933,108 : x
  2. Step 2: Convert to fraction form
    602,895/933,108 = 933,108/x
  3. Step 3: Cross multiply
    602,895x = 933,108 × 933,108
  4. Step 4: Simplify right side
    602,895x = 870,690,539,664
  5. Step 5: Solve for x
    x = 870,690,539,664/602,895
  6. Step 6: Final answer
    x = 1,444,182.72

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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.