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Finding the Third Proportional to 658,346 and 1,410,002

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Solution

The third proportional to 658,346 and 1,410,002 is: 3,019,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,346 : 1,410,002 = 1,410,002 : x
  2. Step 2: Convert to fraction form
    658,346/1,410,002 = 1,410,002/x
  3. Step 3: Cross multiply
    658,346x = 1,410,002 × 1,410,002
  4. Step 4: Simplify right side
    658,346x = 1,988,105,640,004
  5. Step 5: Solve for x
    x = 1,988,105,640,004/658,346
  6. Step 6: Final answer
    x = 3,019,849.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.