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Finding the Third Proportional to 589,253,100 and 819,309,540

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Solution

The third proportional to 589,253,100 and 819,309,540 is: 1,139,184,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,253,100 : 819,309,540 = 819,309,540 : x
  2. Step 2: Convert to fraction form
    589,253,100/819,309,540 = 819,309,540/x
  3. Step 3: Cross multiply
    589,253,100x = 819,309,540 × 819,309,540
  4. Step 4: Simplify right side
    589,253,100x = 671,268,122,335,011,584
  5. Step 5: Solve for x
    x = 671,268,122,335,011,584/589,253,100
  6. Step 6: Final answer
    x = 1,139,184,710.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.