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Finding the Third Proportional to 4,213,728 and 6,357,264

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Solution

The third proportional to 4,213,728 and 6,357,264 is: 9,591,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,728 : 6,357,264 = 6,357,264 : x
  2. Step 2: Convert to fraction form
    4,213,728/6,357,264 = 6,357,264/x
  3. Step 3: Cross multiply
    4,213,728x = 6,357,264 × 6,357,264
  4. Step 4: Simplify right side
    4,213,728x = 40,414,805,565,696
  5. Step 5: Solve for x
    x = 40,414,805,565,696/4,213,728
  6. Step 6: Final answer
    x = 9,591,223.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.