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Finding the Third Proportional to 426,839,284 and 918,390,440

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Solution

The third proportional to 426,839,284 and 918,390,440 is: 1,976,015,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,839,284 : 918,390,440 = 918,390,440 : x
  2. Step 2: Convert to fraction form
    426,839,284/918,390,440 = 918,390,440/x
  3. Step 3: Cross multiply
    426,839,284x = 918,390,440 × 918,390,440
  4. Step 4: Simplify right side
    426,839,284x = 843,441,000,283,393,536
  5. Step 5: Solve for x
    x = 843,441,000,283,393,536/426,839,284
  6. Step 6: Final answer
    x = 1,976,015,404.16

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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.