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Finding the Third Proportional to 769,846,080 and 1,112,294,880

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Solution

The third proportional to 769,846,080 and 1,112,294,880 is: 1,607,074,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,846,080 : 1,112,294,880 = 1,112,294,880 : x
  2. Step 2: Convert to fraction form
    769,846,080/1,112,294,880 = 1,112,294,880/x
  3. Step 3: Cross multiply
    769,846,080x = 1,112,294,880 × 1,112,294,880
  4. Step 4: Simplify right side
    769,846,080x = 1,237,199,900,074,214,400
  5. Step 5: Solve for x
    x = 1,237,199,900,074,214,400/769,846,080
  6. Step 6: Final answer
    x = 1,607,074,364.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.