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Finding the Third Proportional to 4,729,294.50 and 6,739,584

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Solution

The third proportional to 4,729,294.50 and 6,739,584 is: 9,604,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,294.50 : 6,739,584 = 6,739,584 : x
  2. Step 2: Convert to fraction form
    4,729,294.50/6,739,584 = 6,739,584/x
  3. Step 3: Cross multiply
    4,729,294.50x = 6,739,584 × 6,739,584
  4. Step 4: Simplify right side
    4,729,294.50x = 45,421,992,493,056
  5. Step 5: Solve for x
    x = 45,421,992,493,056/4,729,294.50
  6. Step 6: Final answer
    x = 9,604,390.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.