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Finding the Third Proportional to 2,393,685 and 3,679,101

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Solution

The third proportional to 2,393,685 and 3,679,101 is: 5,654,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,685 : 3,679,101 = 3,679,101 : x
  2. Step 2: Convert to fraction form
    2,393,685/3,679,101 = 3,679,101/x
  3. Step 3: Cross multiply
    2,393,685x = 3,679,101 × 3,679,101
  4. Step 4: Simplify right side
    2,393,685x = 13,535,784,168,201
  5. Step 5: Solve for x
    x = 13,535,784,168,201/2,393,685
  6. Step 6: Final answer
    x = 5,654,789.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.