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Finding the Third Proportional to 426,839,264 and 918,390,400

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Solution

The third proportional to 426,839,264 and 918,390,400 is: 1,976,015,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,839,264 : 918,390,400 = 918,390,400 : x
  2. Step 2: Convert to fraction form
    426,839,264/918,390,400 = 918,390,400/x
  3. Step 3: Cross multiply
    426,839,264x = 918,390,400 × 918,390,400
  4. Step 4: Simplify right side
    426,839,264x = 843,440,926,812,160,000
  5. Step 5: Solve for x
    x = 843,440,926,812,160,000/426,839,264
  6. Step 6: Final answer
    x = 1,976,015,324.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.