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Finding the Third Proportional to 640,356 and 1,380,024

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Solution

The third proportional to 640,356 and 1,380,024 is: 2,974,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,356 : 1,380,024 = 1,380,024 : x
  2. Step 2: Convert to fraction form
    640,356/1,380,024 = 1,380,024/x
  3. Step 3: Cross multiply
    640,356x = 1,380,024 × 1,380,024
  4. Step 4: Simplify right side
    640,356x = 1,904,466,240,576
  5. Step 5: Solve for x
    x = 1,904,466,240,576/640,356
  6. Step 6: Final answer
    x = 2,974,074.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.