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Finding the Third Proportional to 1,531,963.13 and 2,304,558.84

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Solution

The third proportional to 1,531,963.13 and 2,304,558.84 is: 3,466,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,963.13 : 2,304,558.84 = 2,304,558.84 : x
  2. Step 2: Convert to fraction form
    1,531,963.13/2,304,558.84 = 2,304,558.84/x
  3. Step 3: Cross multiply
    1,531,963.13x = 2,304,558.84 × 2,304,558.84
  4. Step 4: Simplify right side
    1,531,963.13x = 5,310,991,464,306.34
  5. Step 5: Solve for x
    x = 5,310,991,464,306.34/1,531,963.13
  6. Step 6: Final answer
    x = 3,466,788.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.