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Finding the Third Proportional to 735,353,856 and 1,118,309,760

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Solution

The third proportional to 735,353,856 and 1,118,309,760 is: 1,700,700,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,353,856 : 1,118,309,760 = 1,118,309,760 : x
  2. Step 2: Convert to fraction form
    735,353,856/1,118,309,760 = 1,118,309,760/x
  3. Step 3: Cross multiply
    735,353,856x = 1,118,309,760 × 1,118,309,760
  4. Step 4: Simplify right side
    735,353,856x = 1,250,616,719,311,257,600
  5. Step 5: Solve for x
    x = 1,250,616,719,311,257,600/735,353,856
  6. Step 6: Final answer
    x = 1,700,700,566.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.