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Finding the Third Proportional to 772,688 and 1,181,997

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Solution

The third proportional to 772,688 and 1,181,997 is: 1,808,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,688 : 1,181,997 = 1,181,997 : x
  2. Step 2: Convert to fraction form
    772,688/1,181,997 = 1,181,997/x
  3. Step 3: Cross multiply
    772,688x = 1,181,997 × 1,181,997
  4. Step 4: Simplify right side
    772,688x = 1,397,116,908,009
  5. Step 5: Solve for x
    x = 1,397,116,908,009/772,688
  6. Step 6: Final answer
    x = 1,808,125.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.