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Finding the Third Proportional to 398,865,933 and 612,706,911

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Solution

The third proportional to 398,865,933 and 612,706,911 is: 941,192,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,933 : 612,706,911 = 612,706,911 : x
  2. Step 2: Convert to fraction form
    398,865,933/612,706,911 = 612,706,911/x
  3. Step 3: Cross multiply
    398,865,933x = 612,706,911 × 612,706,911
  4. Step 4: Simplify right side
    398,865,933x = 375,409,758,787,161,920
  5. Step 5: Solve for x
    x = 375,409,758,787,161,920/398,865,933
  6. Step 6: Final answer
    x = 941,192,836.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.