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Finding the Third Proportional to 830,171 and 1,252,881

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Solution

The third proportional to 830,171 and 1,252,881 is: 1,890,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,171 : 1,252,881 = 1,252,881 : x
  2. Step 2: Convert to fraction form
    830,171/1,252,881 = 1,252,881/x
  3. Step 3: Cross multiply
    830,171x = 1,252,881 × 1,252,881
  4. Step 4: Simplify right side
    830,171x = 1,569,710,800,161
  5. Step 5: Solve for x
    x = 1,569,710,800,161/830,171
  6. Step 6: Final answer
    x = 1,890,828.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.