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Finding the Third Proportional to 985,896 and 2,018,496

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Solution

The third proportional to 985,896 and 2,018,496 is: 4,132,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,896 : 2,018,496 = 2,018,496 : x
  2. Step 2: Convert to fraction form
    985,896/2,018,496 = 2,018,496/x
  3. Step 3: Cross multiply
    985,896x = 2,018,496 × 2,018,496
  4. Step 4: Simplify right side
    985,896x = 4,074,326,102,016
  5. Step 5: Solve for x
    x = 4,074,326,102,016/985,896
  6. Step 6: Final answer
    x = 4,132,612.47

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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.