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Finding the Third Proportional to 1,343,744 and 2,036,944

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Solution

The third proportional to 1,343,744 and 2,036,944 is: 3,087,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,744 : 2,036,944 = 2,036,944 : x
  2. Step 2: Convert to fraction form
    1,343,744/2,036,944 = 2,036,944/x
  3. Step 3: Cross multiply
    1,343,744x = 2,036,944 × 2,036,944
  4. Step 4: Simplify right side
    1,343,744x = 4,149,140,859,136
  5. Step 5: Solve for x
    x = 4,149,140,859,136/1,343,744
  6. Step 6: Final answer
    x = 3,087,746.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.