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Finding the Third Proportional to 652,025 and 1,400,462

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Solution

The third proportional to 652,025 and 1,400,462 is: 3,008,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,025 : 1,400,462 = 1,400,462 : x
  2. Step 2: Convert to fraction form
    652,025/1,400,462 = 1,400,462/x
  3. Step 3: Cross multiply
    652,025x = 1,400,462 × 1,400,462
  4. Step 4: Simplify right side
    652,025x = 1,961,293,813,444
  5. Step 5: Solve for x
    x = 1,961,293,813,444/652,025
  6. Step 6: Final answer
    x = 3,008,004.01

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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.