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Finding the Third Proportional to 776,828,612 and 1,184,631,949

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Solution

The third proportional to 776,828,612 and 1,184,631,949 is: 1,806,515,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,828,612 : 1,184,631,949 = 1,184,631,949 : x
  2. Step 2: Convert to fraction form
    776,828,612/1,184,631,949 = 1,184,631,949/x
  3. Step 3: Cross multiply
    776,828,612x = 1,184,631,949 × 1,184,631,949
  4. Step 4: Simplify right side
    776,828,612x = 1,403,352,854,591,538,688
  5. Step 5: Solve for x
    x = 1,403,352,854,591,538,688/776,828,612
  6. Step 6: Final answer
    x = 1,806,515,404.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.