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Finding the Third Proportional to 602,202 and 886,670

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Solution

The third proportional to 602,202 and 886,670 is: 1,305,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,202 : 886,670 = 886,670 : x
  2. Step 2: Convert to fraction form
    602,202/886,670 = 886,670/x
  3. Step 3: Cross multiply
    602,202x = 886,670 × 886,670
  4. Step 4: Simplify right side
    602,202x = 786,183,688,900
  5. Step 5: Solve for x
    x = 786,183,688,900/602,202
  6. Step 6: Final answer
    x = 1,305,514.91

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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.