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Finding the Third Proportional to 737,012 and 1,562,594

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Solution

The third proportional to 737,012 and 1,562,594 is: 3,312,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,012 : 1,562,594 = 1,562,594 : x
  2. Step 2: Convert to fraction form
    737,012/1,562,594 = 1,562,594/x
  3. Step 3: Cross multiply
    737,012x = 1,562,594 × 1,562,594
  4. Step 4: Simplify right side
    737,012x = 2,441,700,008,836
  5. Step 5: Solve for x
    x = 2,441,700,008,836/737,012
  6. Step 6: Final answer
    x = 3,312,971.85

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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.