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Finding the Third Proportional to 534,855.84 and 1,189,298.06

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Solution

The third proportional to 534,855.84 and 1,189,298.06 is: 2,644,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,855.84 : 1,189,298.06 = 1,189,298.06 : x
  2. Step 2: Convert to fraction form
    534,855.84/1,189,298.06 = 1,189,298.06/x
  3. Step 3: Cross multiply
    534,855.84x = 1,189,298.06 × 1,189,298.06
  4. Step 4: Simplify right side
    534,855.84x = 1,414,429,881,466.25
  5. Step 5: Solve for x
    x = 1,414,429,881,466.25/534,855.84
  6. Step 6: Final answer
    x = 2,644,506.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.