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Finding the Third Proportional to 844,112 and 1,209,160

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Solution

The third proportional to 844,112 and 1,209,160 is: 1,732,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,112 : 1,209,160 = 1,209,160 : x
  2. Step 2: Convert to fraction form
    844,112/1,209,160 = 1,209,160/x
  3. Step 3: Cross multiply
    844,112x = 1,209,160 × 1,209,160
  4. Step 4: Simplify right side
    844,112x = 1,462,067,905,600
  5. Step 5: Solve for x
    x = 1,462,067,905,600/844,112
  6. Step 6: Final answer
    x = 1,732,078.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.