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Finding the Third Proportional to 1,496,297.81 and 2,321,637.19

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Solution

The third proportional to 1,496,297.81 and 2,321,637.19 is: 3,602,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,297.81 : 2,321,637.19 = 2,321,637.19 : x
  2. Step 2: Convert to fraction form
    1,496,297.81/2,321,637.19 = 2,321,637.19/x
  3. Step 3: Cross multiply
    1,496,297.81x = 2,321,637.19 × 2,321,637.19
  4. Step 4: Simplify right side
    1,496,297.81x = 5,389,999,230,382.91
  5. Step 5: Solve for x
    x = 5,389,999,230,382.91/1,496,297.81
  6. Step 6: Final answer
    x = 3,602,223.56

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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.