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Finding the Third Proportional to 743,952 and 1,620,765

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Solution

The third proportional to 743,952 and 1,620,765 is: 3,530,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,952 : 1,620,765 = 1,620,765 : x
  2. Step 2: Convert to fraction form
    743,952/1,620,765 = 1,620,765/x
  3. Step 3: Cross multiply
    743,952x = 1,620,765 × 1,620,765
  4. Step 4: Simplify right side
    743,952x = 2,626,879,185,225
  5. Step 5: Solve for x
    x = 2,626,879,185,225/743,952
  6. Step 6: Final answer
    x = 3,530,979.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.