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Finding the Third Proportional to 1,496,286.74 and 2,321,622.95

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Solution

The third proportional to 1,496,286.74 and 2,321,622.95 is: 3,602,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,286.74 : 2,321,622.95 = 2,321,622.95 : x
  2. Step 2: Convert to fraction form
    1,496,286.74/2,321,622.95 = 2,321,622.95/x
  3. Step 3: Cross multiply
    1,496,286.74x = 2,321,622.95 × 2,321,622.95
  4. Step 4: Simplify right side
    1,496,286.74x = 5,389,933,118,339.40
  5. Step 5: Solve for x
    x = 5,389,933,118,339.40/1,496,286.74
  6. Step 6: Final answer
    x = 3,602,206.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.