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Finding the Third Proportional to 602,307 and 886,806

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Solution

The third proportional to 602,307 and 886,806 is: 1,305,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,307 : 886,806 = 886,806 : x
  2. Step 2: Convert to fraction form
    602,307/886,806 = 886,806/x
  3. Step 3: Cross multiply
    602,307x = 886,806 × 886,806
  4. Step 4: Simplify right side
    602,307x = 786,424,881,636
  5. Step 5: Solve for x
    x = 786,424,881,636/602,307
  6. Step 6: Final answer
    x = 1,305,687.77

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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.