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Finding the Third Proportional to 475,825,926 and 727,415,244

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Solution

The third proportional to 475,825,926 and 727,415,244 is: 1,112,030,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,926 : 727,415,244 = 727,415,244 : x
  2. Step 2: Convert to fraction form
    475,825,926/727,415,244 = 727,415,244/x
  3. Step 3: Cross multiply
    475,825,926x = 727,415,244 × 727,415,244
  4. Step 4: Simplify right side
    475,825,926x = 529,132,937,203,579,520
  5. Step 5: Solve for x
    x = 529,132,937,203,579,520/475,825,926
  6. Step 6: Final answer
    x = 1,112,030,489.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.