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Finding the Third Proportional to 489,496 and 1,005,344

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Solution

The third proportional to 489,496 and 1,005,344 is: 2,064,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,496 : 1,005,344 = 1,005,344 : x
  2. Step 2: Convert to fraction form
    489,496/1,005,344 = 1,005,344/x
  3. Step 3: Cross multiply
    489,496x = 1,005,344 × 1,005,344
  4. Step 4: Simplify right side
    489,496x = 1,010,716,558,336
  5. Step 5: Solve for x
    x = 1,010,716,558,336/489,496
  6. Step 6: Final answer
    x = 2,064,810.66

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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.