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Finding the Third Proportional to 912,132 and 1,957,107

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Solution

The third proportional to 912,132 and 1,957,107 is: 4,199,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,132 : 1,957,107 = 1,957,107 : x
  2. Step 2: Convert to fraction form
    912,132/1,957,107 = 1,957,107/x
  3. Step 3: Cross multiply
    912,132x = 1,957,107 × 1,957,107
  4. Step 4: Simplify right side
    912,132x = 3,830,267,809,449
  5. Step 5: Solve for x
    x = 3,830,267,809,449/912,132
  6. Step 6: Final answer
    x = 4,199,247.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.