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Finding the Third Proportional to 514,303,677 and 1,126,863,735

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Solution

The third proportional to 514,303,677 and 1,126,863,735 is: 2,469,011,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,303,677 : 1,126,863,735 = 1,126,863,735 : x
  2. Step 2: Convert to fraction form
    514,303,677/1,126,863,735 = 1,126,863,735/x
  3. Step 3: Cross multiply
    514,303,677x = 1,126,863,735 × 1,126,863,735
  4. Step 4: Simplify right side
    514,303,677x = 1,269,821,877,258,150,144
  5. Step 5: Solve for x
    x = 1,269,821,877,258,150,144/514,303,677
  6. Step 6: Final answer
    x = 2,469,011,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.