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Finding the Third Proportional to 807,235,305 and 1,263,543,726

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Solution

The third proportional to 807,235,305 and 1,263,543,726 is: 1,977,791,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,235,305 : 1,263,543,726 = 1,263,543,726 : x
  2. Step 2: Convert to fraction form
    807,235,305/1,263,543,726 = 1,263,543,726/x
  3. Step 3: Cross multiply
    807,235,305x = 1,263,543,726 × 1,263,543,726
  4. Step 4: Simplify right side
    807,235,305x = 1,596,542,747,513,963,008
  5. Step 5: Solve for x
    x = 1,596,542,747,513,963,008/807,235,305
  6. Step 6: Final answer
    x = 1,977,791,032.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.