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Finding the Third Proportional to 1,304,505 and 1,802,532.75

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Solution

The third proportional to 1,304,505 and 1,802,532.75 is: 2,490,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,505 : 1,802,532.75 = 1,802,532.75 : x
  2. Step 2: Convert to fraction form
    1,304,505/1,802,532.75 = 1,802,532.75/x
  3. Step 3: Cross multiply
    1,304,505x = 1,802,532.75 × 1,802,532.75
  4. Step 4: Simplify right side
    1,304,505x = 3,249,124,314,822.56
  5. Step 5: Solve for x
    x = 3,249,124,314,822.56/1,304,505
  6. Step 6: Final answer
    x = 2,490,695.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.