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Finding the Third Proportional to 651,187,524 and 1,396,905,552

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Solution

The third proportional to 651,187,524 and 1,396,905,552 is: 2,996,594,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,187,524 : 1,396,905,552 = 1,396,905,552 : x
  2. Step 2: Convert to fraction form
    651,187,524/1,396,905,552 = 1,396,905,552/x
  3. Step 3: Cross multiply
    651,187,524x = 1,396,905,552 × 1,396,905,552
  4. Step 4: Simplify right side
    651,187,524x = 1,951,345,121,208,424,704
  5. Step 5: Solve for x
    x = 1,951,345,121,208,424,704/651,187,524
  6. Step 6: Final answer
    x = 2,996,594,758.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.