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Finding the Third Proportional to 2,597,654.81 and 4,074,922.69

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Solution

The third proportional to 2,597,654.81 and 4,074,922.69 is: 6,392,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,654.81 : 4,074,922.69 = 4,074,922.69 : x
  2. Step 2: Convert to fraction form
    2,597,654.81/4,074,922.69 = 4,074,922.69/x
  3. Step 3: Cross multiply
    2,597,654.81x = 4,074,922.69 × 4,074,922.69
  4. Step 4: Simplify right side
    2,597,654.81x = 16,604,994,909,102.22
  5. Step 5: Solve for x
    x = 16,604,994,909,102.22/2,597,654.81
  6. Step 6: Final answer
    x = 6,392,302.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.