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Finding the Third Proportional to 609,172 and 892,974

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Solution

The third proportional to 609,172 and 892,974 is: 1,308,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,172 : 892,974 = 892,974 : x
  2. Step 2: Convert to fraction form
    609,172/892,974 = 892,974/x
  3. Step 3: Cross multiply
    609,172x = 892,974 × 892,974
  4. Step 4: Simplify right side
    609,172x = 797,402,564,676
  5. Step 5: Solve for x
    x = 797,402,564,676/609,172
  6. Step 6: Final answer
    x = 1,308,994.12

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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.