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Finding the Third Proportional to 711,264 and 1,544,640

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Solution

The third proportional to 711,264 and 1,544,640 is: 3,354,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,264 : 1,544,640 = 1,544,640 : x
  2. Step 2: Convert to fraction form
    711,264/1,544,640 = 1,544,640/x
  3. Step 3: Cross multiply
    711,264x = 1,544,640 × 1,544,640
  4. Step 4: Simplify right side
    711,264x = 2,385,912,729,600
  5. Step 5: Solve for x
    x = 2,385,912,729,600/711,264
  6. Step 6: Final answer
    x = 3,354,468.57

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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.