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Finding the Third Proportional to 4,121,218 and 6,304,211

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Solution

The third proportional to 4,121,218 and 6,304,211 is: 9,643,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,218 : 6,304,211 = 6,304,211 : x
  2. Step 2: Convert to fraction form
    4,121,218/6,304,211 = 6,304,211/x
  3. Step 3: Cross multiply
    4,121,218x = 6,304,211 × 6,304,211
  4. Step 4: Simplify right side
    4,121,218x = 39,743,076,332,521
  5. Step 5: Solve for x
    x = 39,743,076,332,521/4,121,218
  6. Step 6: Final answer
    x = 9,643,526.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.