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Finding the Third Proportional to 701,469 and 1,507,185

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Solution

The third proportional to 701,469 and 1,507,185 is: 3,238,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,469 : 1,507,185 = 1,507,185 : x
  2. Step 2: Convert to fraction form
    701,469/1,507,185 = 1,507,185/x
  3. Step 3: Cross multiply
    701,469x = 1,507,185 × 1,507,185
  4. Step 4: Simplify right side
    701,469x = 2,271,606,624,225
  5. Step 5: Solve for x
    x = 2,271,606,624,225/701,469
  6. Step 6: Final answer
    x = 3,238,356.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.