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Finding the Third Proportional to 410,954,850 and 619,915,932

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Solution

The third proportional to 410,954,850 and 619,915,932 is: 935,128,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,954,850 : 619,915,932 = 619,915,932 : x
  2. Step 2: Convert to fraction form
    410,954,850/619,915,932 = 619,915,932/x
  3. Step 3: Cross multiply
    410,954,850x = 619,915,932 × 619,915,932
  4. Step 4: Simplify right side
    410,954,850x = 384,295,762,747,428,608
  5. Step 5: Solve for x
    x = 384,295,762,747,428,608/410,954,850
  6. Step 6: Final answer
    x = 935,128,914.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.