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Finding the Third Proportional to 3,466,584 and 7,729,784

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Solution

The third proportional to 3,466,584 and 7,729,784 is: 17,235,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,584 : 7,729,784 = 7,729,784 : x
  2. Step 2: Convert to fraction form
    3,466,584/7,729,784 = 7,729,784/x
  3. Step 3: Cross multiply
    3,466,584x = 7,729,784 × 7,729,784
  4. Step 4: Simplify right side
    3,466,584x = 59,749,560,686,656
  5. Step 5: Solve for x
    x = 59,749,560,686,656/3,466,584
  6. Step 6: Final answer
    x = 17,235,861.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.