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Finding the Third Proportional to 745,682,274 and 1,118,523,006

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Solution

The third proportional to 745,682,274 and 1,118,523,006 is: 1,677,783,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,682,274 : 1,118,523,006 = 1,118,523,006 : x
  2. Step 2: Convert to fraction form
    745,682,274/1,118,523,006 = 1,118,523,006/x
  3. Step 3: Cross multiply
    745,682,274x = 1,118,523,006 × 1,118,523,006
  4. Step 4: Simplify right side
    745,682,274x = 1,251,093,714,951,276,032
  5. Step 5: Solve for x
    x = 1,251,093,714,951,276,032/745,682,274
  6. Step 6: Final answer
    x = 1,677,783,901.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.