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Finding the Third Proportional to 489,462 and 1,005,276

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Solution

The third proportional to 489,462 and 1,005,276 is: 2,064,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,462 : 1,005,276 = 1,005,276 : x
  2. Step 2: Convert to fraction form
    489,462/1,005,276 = 1,005,276/x
  3. Step 3: Cross multiply
    489,462x = 1,005,276 × 1,005,276
  4. Step 4: Simplify right side
    489,462x = 1,010,579,836,176
  5. Step 5: Solve for x
    x = 1,010,579,836,176/489,462
  6. Step 6: Final answer
    x = 2,064,674.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.