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Finding the Third Proportional to 4,237,632 and 6,454,368

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Solution

The third proportional to 4,237,632 and 6,454,368 is: 9,830,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,632 : 6,454,368 = 6,454,368 : x
  2. Step 2: Convert to fraction form
    4,237,632/6,454,368 = 6,454,368/x
  3. Step 3: Cross multiply
    4,237,632x = 6,454,368 × 6,454,368
  4. Step 4: Simplify right side
    4,237,632x = 41,658,866,279,424
  5. Step 5: Solve for x
    x = 41,658,866,279,424/4,237,632
  6. Step 6: Final answer
    x = 9,830,694.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.