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Finding the Third Proportional to 493,548,030 and 1,072,056,636

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Solution

The third proportional to 493,548,030 and 1,072,056,636 is: 2,328,659,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,548,030 : 1,072,056,636 = 1,072,056,636 : x
  2. Step 2: Convert to fraction form
    493,548,030/1,072,056,636 = 1,072,056,636/x
  3. Step 3: Cross multiply
    493,548,030x = 1,072,056,636 × 1,072,056,636
  4. Step 4: Simplify right side
    493,548,030x = 1,149,305,430,791,636,480
  5. Step 5: Solve for x
    x = 1,149,305,430,791,636,480/493,548,030
  6. Step 6: Final answer
    x = 2,328,659,747.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.