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Finding the Third Proportional to 607,060,928 and 1,306,193,824

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Solution

The third proportional to 607,060,928 and 1,306,193,824 is: 2,810,495,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,060,928 : 1,306,193,824 = 1,306,193,824 : x
  2. Step 2: Convert to fraction form
    607,060,928/1,306,193,824 = 1,306,193,824/x
  3. Step 3: Cross multiply
    607,060,928x = 1,306,193,824 × 1,306,193,824
  4. Step 4: Simplify right side
    607,060,928x = 1,706,142,305,855,742,976
  5. Step 5: Solve for x
    x = 1,706,142,305,855,742,976/607,060,928
  6. Step 6: Final answer
    x = 2,810,495,993.34

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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.