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Finding the Third Proportional to 1,567,376 and 3,201,165

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Solution

The third proportional to 1,567,376 and 3,201,165 is: 6,537,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,376 : 3,201,165 = 3,201,165 : x
  2. Step 2: Convert to fraction form
    1,567,376/3,201,165 = 3,201,165/x
  3. Step 3: Cross multiply
    1,567,376x = 3,201,165 × 3,201,165
  4. Step 4: Simplify right side
    1,567,376x = 10,247,457,357,225
  5. Step 5: Solve for x
    x = 10,247,457,357,225/1,567,376
  6. Step 6: Final answer
    x = 6,537,970.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.