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Finding the Third Proportional to 831,952 and 1,189,736

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Solution

The third proportional to 831,952 and 1,189,736 is: 1,701,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,952 : 1,189,736 = 1,189,736 : x
  2. Step 2: Convert to fraction form
    831,952/1,189,736 = 1,189,736/x
  3. Step 3: Cross multiply
    831,952x = 1,189,736 × 1,189,736
  4. Step 4: Simplify right side
    831,952x = 1,415,471,749,696
  5. Step 5: Solve for x
    x = 1,415,471,749,696/831,952
  6. Step 6: Final answer
    x = 1,701,386.32

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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.