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Finding the Third Proportional to 370,396,210 and 789,985,340

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Solution

The third proportional to 370,396,210 and 789,985,340 is: 1,684,889,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,396,210 : 789,985,340 = 789,985,340 : x
  2. Step 2: Convert to fraction form
    370,396,210/789,985,340 = 789,985,340/x
  3. Step 3: Cross multiply
    370,396,210x = 789,985,340 × 789,985,340
  4. Step 4: Simplify right side
    370,396,210x = 624,076,837,414,915,584
  5. Step 5: Solve for x
    x = 624,076,837,414,915,584/370,396,210
  6. Step 6: Final answer
    x = 1,684,889,911.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.