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Finding the Third Proportional to 1,284,905,392 and 1,733,639,047

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Solution

The third proportional to 1,284,905,392 and 1,733,639,047 is: 2,339,086,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,905,392 : 1,733,639,047 = 1,733,639,047 : x
  2. Step 2: Convert to fraction form
    1,284,905,392/1,733,639,047 = 1,733,639,047/x
  3. Step 3: Cross multiply
    1,284,905,392x = 1,733,639,047 × 1,733,639,047
  4. Step 4: Simplify right side
    1,284,905,392x = 3,005,504,345,283,068,416
  5. Step 5: Solve for x
    x = 3,005,504,345,283,068,416/1,284,905,392
  6. Step 6: Final answer
    x = 2,339,086,102.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.