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Finding the Third Proportional to 916,011 and 1,957,812.75

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Solution

The third proportional to 916,011 and 1,957,812.75 is: 4,184,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,011 : 1,957,812.75 = 1,957,812.75 : x
  2. Step 2: Convert to fraction form
    916,011/1,957,812.75 = 1,957,812.75/x
  3. Step 3: Cross multiply
    916,011x = 1,957,812.75 × 1,957,812.75
  4. Step 4: Simplify right side
    916,011x = 3,833,030,764,062.56
  5. Step 5: Solve for x
    x = 3,833,030,764,062.56/916,011
  6. Step 6: Final answer
    x = 4,184,481.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.