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Finding the Third Proportional to 962,981 and 2,277,341

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Solution

The third proportional to 962,981 and 2,277,341 is: 5,385,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,981 : 2,277,341 = 2,277,341 : x
  2. Step 2: Convert to fraction form
    962,981/2,277,341 = 2,277,341/x
  3. Step 3: Cross multiply
    962,981x = 2,277,341 × 2,277,341
  4. Step 4: Simplify right side
    962,981x = 5,186,282,030,281
  5. Step 5: Solve for x
    x = 5,186,282,030,281/962,981
  6. Step 6: Final answer
    x = 5,385,653.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.