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Finding the Third Proportional to 737,008 and 1,562,584

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Solution

The third proportional to 737,008 and 1,562,584 is: 3,312,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,008 : 1,562,584 = 1,562,584 : x
  2. Step 2: Convert to fraction form
    737,008/1,562,584 = 1,562,584/x
  3. Step 3: Cross multiply
    737,008x = 1,562,584 × 1,562,584
  4. Step 4: Simplify right side
    737,008x = 2,441,668,757,056
  5. Step 5: Solve for x
    x = 2,441,668,757,056/737,008
  6. Step 6: Final answer
    x = 3,312,947.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.