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Finding the Third Proportional to 612,116 and 950,106

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Solution

The third proportional to 612,116 and 950,106 is: 1,474,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,116 : 950,106 = 950,106 : x
  2. Step 2: Convert to fraction form
    612,116/950,106 = 950,106/x
  3. Step 3: Cross multiply
    612,116x = 950,106 × 950,106
  4. Step 4: Simplify right side
    612,116x = 902,701,411,236
  5. Step 5: Solve for x
    x = 902,701,411,236/612,116
  6. Step 6: Final answer
    x = 1,474,722.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.