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Finding the Third Proportional to 743,785,706 and 1,621,494,688

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Solution

The third proportional to 743,785,706 and 1,621,494,688 is: 3,534,949,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,785,706 : 1,621,494,688 = 1,621,494,688 : x
  2. Step 2: Convert to fraction form
    743,785,706/1,621,494,688 = 1,621,494,688/x
  3. Step 3: Cross multiply
    743,785,706x = 1,621,494,688 × 1,621,494,688
  4. Step 4: Simplify right side
    743,785,706x = 2,629,245,023,212,217,344
  5. Step 5: Solve for x
    x = 2,629,245,023,212,217,344/743,785,706
  6. Step 6: Final answer
    x = 3,534,949,652.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.