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Finding the Third Proportional to 598,020 and 926,922

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Solution

The third proportional to 598,020 and 926,922 is: 1,436,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,020 : 926,922 = 926,922 : x
  2. Step 2: Convert to fraction form
    598,020/926,922 = 926,922/x
  3. Step 3: Cross multiply
    598,020x = 926,922 × 926,922
  4. Step 4: Simplify right side
    598,020x = 859,184,394,084
  5. Step 5: Solve for x
    x = 859,184,394,084/598,020
  6. Step 6: Final answer
    x = 1,436,715.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.