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Finding the Third Proportional to 770,557 and 1,227,179

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Solution

The third proportional to 770,557 and 1,227,179 is: 1,954,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,557 : 1,227,179 = 1,227,179 : x
  2. Step 2: Convert to fraction form
    770,557/1,227,179 = 1,227,179/x
  3. Step 3: Cross multiply
    770,557x = 1,227,179 × 1,227,179
  4. Step 4: Simplify right side
    770,557x = 1,505,968,298,041
  5. Step 5: Solve for x
    x = 1,505,968,298,041/770,557
  6. Step 6: Final answer
    x = 1,954,389.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.