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Finding the Third Proportional to 608,184 and 1,409,436

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Solution

The third proportional to 608,184 and 1,409,436 is: 3,266,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,184 : 1,409,436 = 1,409,436 : x
  2. Step 2: Convert to fraction form
    608,184/1,409,436 = 1,409,436/x
  3. Step 3: Cross multiply
    608,184x = 1,409,436 × 1,409,436
  4. Step 4: Simplify right side
    608,184x = 1,986,509,838,096
  5. Step 5: Solve for x
    x = 1,986,509,838,096/608,184
  6. Step 6: Final answer
    x = 3,266,297.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.