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Finding the Third Proportional to 602,245.13 and 886,722.19

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Solution

The third proportional to 602,245.13 and 886,722.19 is: 1,305,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,245.13 : 886,722.19 = 886,722.19 : x
  2. Step 2: Convert to fraction form
    602,245.13/886,722.19 = 886,722.19/x
  3. Step 3: Cross multiply
    602,245.13x = 886,722.19 × 886,722.19
  4. Step 4: Simplify right side
    602,245.13x = 786,276,237,804.79
  5. Step 5: Solve for x
    x = 786,276,237,804.79/602,245.13
  6. Step 6: Final answer
    x = 1,305,575.10

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Why These Related Problems?

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