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Finding the Third Proportional to 844,185 and 1,209,280

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Solution

The third proportional to 844,185 and 1,209,280 is: 1,732,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,185 : 1,209,280 = 1,209,280 : x
  2. Step 2: Convert to fraction form
    844,185/1,209,280 = 1,209,280/x
  3. Step 3: Cross multiply
    844,185x = 1,209,280 × 1,209,280
  4. Step 4: Simplify right side
    844,185x = 1,462,358,118,400
  5. Step 5: Solve for x
    x = 1,462,358,118,400/844,185
  6. Step 6: Final answer
    x = 1,732,272.09

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Why These Related Problems?

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