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Finding the Third Proportional to 1,315,896 and 2,831,376

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Solution

The third proportional to 1,315,896 and 2,831,376 is: 6,092,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,896 : 2,831,376 = 2,831,376 : x
  2. Step 2: Convert to fraction form
    1,315,896/2,831,376 = 2,831,376/x
  3. Step 3: Cross multiply
    1,315,896x = 2,831,376 × 2,831,376
  4. Step 4: Simplify right side
    1,315,896x = 8,016,690,053,376
  5. Step 5: Solve for x
    x = 8,016,690,053,376/1,315,896
  6. Step 6: Final answer
    x = 6,092,191.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.