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Finding the Third Proportional to 759,648 and 1,180,944

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Solution

The third proportional to 759,648 and 1,180,944 is: 1,835,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,648 : 1,180,944 = 1,180,944 : x
  2. Step 2: Convert to fraction form
    759,648/1,180,944 = 1,180,944/x
  3. Step 3: Cross multiply
    759,648x = 1,180,944 × 1,180,944
  4. Step 4: Simplify right side
    759,648x = 1,394,628,731,136
  5. Step 5: Solve for x
    x = 1,394,628,731,136/759,648
  6. Step 6: Final answer
    x = 1,835,888.11

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Why These Related Problems?

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