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Finding the Third Proportional to 602,193.94 and 886,656.38

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Solution

The third proportional to 602,193.94 and 886,656.38 is: 1,305,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,193.94 : 886,656.38 = 886,656.38 : x
  2. Step 2: Convert to fraction form
    602,193.94/886,656.38 = 886,656.38/x
  3. Step 3: Cross multiply
    602,193.94x = 886,656.38 × 886,656.38
  4. Step 4: Simplify right side
    602,193.94x = 786,159,527,328.14
  5. Step 5: Solve for x
    x = 786,159,527,328.14/602,193.94
  6. Step 6: Final answer
    x = 1,305,492.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.