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Finding the Third Proportional to 612,106 and 950,133

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Solution

The third proportional to 612,106 and 950,133 is: 1,474,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,106 : 950,133 = 950,133 : x
  2. Step 2: Convert to fraction form
    612,106/950,133 = 950,133/x
  3. Step 3: Cross multiply
    612,106x = 950,133 × 950,133
  4. Step 4: Simplify right side
    612,106x = 902,752,717,689
  5. Step 5: Solve for x
    x = 902,752,717,689/612,106
  6. Step 6: Final answer
    x = 1,474,830.70

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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.