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Finding the Third Proportional to 898,736 and 1,908,304

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Solution

The third proportional to 898,736 and 1,908,304 is: 4,051,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,736 : 1,908,304 = 1,908,304 : x
  2. Step 2: Convert to fraction form
    898,736/1,908,304 = 1,908,304/x
  3. Step 3: Cross multiply
    898,736x = 1,908,304 × 1,908,304
  4. Step 4: Simplify right side
    898,736x = 3,641,624,156,416
  5. Step 5: Solve for x
    x = 3,641,624,156,416/898,736
  6. Step 6: Final answer
    x = 4,051,939.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.