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Finding the Third Proportional to 860,478,922 and 1,300,962,831

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Solution

The third proportional to 860,478,922 and 1,300,962,831 is: 1,966,932,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,478,922 : 1,300,962,831 = 1,300,962,831 : x
  2. Step 2: Convert to fraction form
    860,478,922/1,300,962,831 = 1,300,962,831/x
  3. Step 3: Cross multiply
    860,478,922x = 1,300,962,831 × 1,300,962,831
  4. Step 4: Simplify right side
    860,478,922x = 1,692,504,287,643,534,592
  5. Step 5: Solve for x
    x = 1,692,504,287,643,534,592/860,478,922
  6. Step 6: Final answer
    x = 1,966,932,883.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.