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Finding the Third Proportional to 436,070,362 and 670,270,228

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Solution

The third proportional to 436,070,362 and 670,270,228 is: 1,030,251,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,070,362 : 670,270,228 = 670,270,228 : x
  2. Step 2: Convert to fraction form
    436,070,362/670,270,228 = 670,270,228/x
  3. Step 3: Cross multiply
    436,070,362x = 670,270,228 × 670,270,228
  4. Step 4: Simplify right side
    436,070,362x = 449,262,178,543,171,968
  5. Step 5: Solve for x
    x = 449,262,178,543,171,968/436,070,362
  6. Step 6: Final answer
    x = 1,030,251,577.94

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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.