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Finding the Third Proportional to 899,265,701 and 1,348,898,462

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Solution

The third proportional to 899,265,701 and 1,348,898,462 is: 2,023,347,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,265,701 : 1,348,898,462 = 1,348,898,462 : x
  2. Step 2: Convert to fraction form
    899,265,701/1,348,898,462 = 1,348,898,462/x
  3. Step 3: Cross multiply
    899,265,701x = 1,348,898,462 × 1,348,898,462
  4. Step 4: Simplify right side
    899,265,701x = 1,819,527,060,785,965,568
  5. Step 5: Solve for x
    x = 1,819,527,060,785,965,568/899,265,701
  6. Step 6: Final answer
    x = 2,023,347,558.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.