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Finding the Third Proportional to 807,235,309 and 1,263,543,732

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Solution

The third proportional to 807,235,309 and 1,263,543,732 is: 1,977,791,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,235,309 : 1,263,543,732 = 1,263,543,732 : x
  2. Step 2: Convert to fraction form
    807,235,309/1,263,543,732 = 1,263,543,732/x
  3. Step 3: Cross multiply
    807,235,309x = 1,263,543,732 × 1,263,543,732
  4. Step 4: Simplify right side
    807,235,309x = 1,596,542,762,676,487,936
  5. Step 5: Solve for x
    x = 1,596,542,762,676,487,936/807,235,309
  6. Step 6: Final answer
    x = 1,977,791,041.69

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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.