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Finding the Third Proportional to 992,096 and 2,153,320

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Solution

The third proportional to 992,096 and 2,153,320 is: 4,673,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,096 : 2,153,320 = 2,153,320 : x
  2. Step 2: Convert to fraction form
    992,096/2,153,320 = 2,153,320/x
  3. Step 3: Cross multiply
    992,096x = 2,153,320 × 2,153,320
  4. Step 4: Simplify right side
    992,096x = 4,636,787,022,400
  5. Step 5: Solve for x
    x = 4,636,787,022,400/992,096
  6. Step 6: Final answer
    x = 4,673,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.