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Finding the Third Proportional to 771,724 and 1,194,810

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Solution

The third proportional to 771,724 and 1,194,810 is: 1,849,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,724 : 1,194,810 = 1,194,810 : x
  2. Step 2: Convert to fraction form
    771,724/1,194,810 = 1,194,810/x
  3. Step 3: Cross multiply
    771,724x = 1,194,810 × 1,194,810
  4. Step 4: Simplify right side
    771,724x = 1,427,570,936,100
  5. Step 5: Solve for x
    x = 1,427,570,936,100/771,724
  6. Step 6: Final answer
    x = 1,849,846.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.