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Finding the Third Proportional to 689,410 and 1,489,502

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Solution

The third proportional to 689,410 and 1,489,502 is: 3,218,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,410 : 1,489,502 = 1,489,502 : x
  2. Step 2: Convert to fraction form
    689,410/1,489,502 = 1,489,502/x
  3. Step 3: Cross multiply
    689,410x = 1,489,502 × 1,489,502
  4. Step 4: Simplify right side
    689,410x = 2,218,616,208,004
  5. Step 5: Solve for x
    x = 2,218,616,208,004/689,410
  6. Step 6: Final answer
    x = 3,218,137.55

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