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Finding the Third Proportional to 807,235,307 and 1,263,543,729

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Solution

The third proportional to 807,235,307 and 1,263,543,729 is: 1,977,791,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,235,307 : 1,263,543,729 = 1,263,543,729 : x
  2. Step 2: Convert to fraction form
    807,235,307/1,263,543,729 = 1,263,543,729/x
  3. Step 3: Cross multiply
    807,235,307x = 1,263,543,729 × 1,263,543,729
  4. Step 4: Simplify right side
    807,235,307x = 1,596,542,755,095,225,344
  5. Step 5: Solve for x
    x = 1,596,542,755,095,225,344/807,235,307
  6. Step 6: Final answer
    x = 1,977,791,037.20

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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.