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Finding the Third Proportional to 1,238,411.53 and 1,743,973.03

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Solution

The third proportional to 1,238,411.53 and 1,743,973.03 is: 2,455,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,411.53 : 1,743,973.03 = 1,743,973.03 : x
  2. Step 2: Convert to fraction form
    1,238,411.53/1,743,973.03 = 1,743,973.03/x
  3. Step 3: Cross multiply
    1,238,411.53x = 1,743,973.03 × 1,743,973.03
  4. Step 4: Simplify right side
    1,238,411.53x = 3,041,441,933,727.31
  5. Step 5: Solve for x
    x = 3,041,441,933,727.31/1,238,411.53
  6. Step 6: Final answer
    x = 2,455,921.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.