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Finding the Third Proportional to 772,128 and 1,181,154

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Solution

The third proportional to 772,128 and 1,181,154 is: 1,806,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,128 : 1,181,154 = 1,181,154 : x
  2. Step 2: Convert to fraction form
    772,128/1,181,154 = 1,181,154/x
  3. Step 3: Cross multiply
    772,128x = 1,181,154 × 1,181,154
  4. Step 4: Simplify right side
    772,128x = 1,395,124,771,716
  5. Step 5: Solve for x
    x = 1,395,124,771,716/772,128
  6. Step 6: Final answer
    x = 1,806,856.86

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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.